Authors : Dr. UKO, Mary Patrick; Akanwa, U. N.; Dr. Agbaegbu, C. N.

Volume/Issue : Volume 10 - 2025, Issue 7 - July

Google Scholar : https://tinyurl.com/hjcnp79k

Scribd : https://tinyurl.com/5547fus7

DOI : https://doi.org/10.38124/ijisrt/25jul241

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Abstract : This study investigated the effects of writing-for-learn strategies and triangulated evaluation on students’ mathematics achievement, academic self-perception, and learning- engagement in south-south Nigerian teacher education colleges, key affective outcomes in mathematics learning. A quasi-experimental design with a non-randomized control group was employed. The research was structured around nine research questions and corresponding null hypotheses. The study was conducted in the South-South geopolitical zone of Nigeria, focusing on a population of 10,648 second-year students across thirteen Colleges of Education during the 2018/2019 academic session. From this population, 3,306 students at Akwa Ibom State College of Education were considered, with a purposive and simple random sample of 386 second-year students offering Basic General Mathematics IV were selected for the study. These students were assigned to either experimental or control groups. The experimental group was taught and assessed using writing-for-learning strategies and triangulated assessment tools, while the control group experienced conventional closed- ended testing methods. Four researcher-developed instruments were used: a 25-item Mathematics Achievement Test, 40-item self- concept and interest inventories, a mathography, and an alternative solution worksheet. Both quantitative and qualitative data were collected and analyzed. Descriptive statistics (mean and standard deviation) were used to address the research questions, while inferential statistics, Multivariate Analysis of Covariance (MANCOVA), Multivariate Analysis of Variance (MANOVA), and Multiple Regression, tested the hypotheses at a 0.05 level of significance. Template analysis was employed for the qualitative data. Findings indicated that writing-to-learn and triangulated assessment approaches significantly enhanced students' mathematics achievement and affective outcomes. Female students demonstrated greater gains than males in both academic and affective domains. However, the interaction effect between writing-to-learn and triangulation approaches was not statistically significant. These findings carry meaningful implications for curriculum developers, teacher educators, mathematics lecturers, and students. It is recommended that mathematics educators incorporate writing-based strategies and performance-oriented assessments such as alternative solution worksheets, knowledge-demonstration writing tasks, and project-based methods throughout mathematics instruction. Such approaches may help bridge the gap between mathematical concepts and real-life applications, enhance retention, and change negative perceptions of mathematics. Moreover, pre-service mathematics teachers should receive training in these alternative assessment methods, and curriculum planners should embed them within revised mathematics curricula in Nigeria.

References :

1. Abe, C.V. (2004).  Towards More Authentic Assessment Practices in Schools.  In J.O.Obemeata and E.U. Okwilagwe (eds.), A Handbook on Evaluation Research.  Pen Services Publisher, Pp. 41-50.
2. Abhakorn, J (2014).  Investigating the Use of Student Portfolios to Develop Student’s Metacognition in English as a Foreign Language Learning. Journal of Language Teaching and Research, Vol 5 (1), pp. 46-55
3. Adamson, F., and Darling-Hammond, L. (2010). Beyond Basic Skills: The Role of Performance Assessment in Achieving 21st Century Standards of Learning. Stanford, CA: Stanford Center for Opportunity Policy in Education.
4. Adebowale, O. F. and Aluo, K. A. (2008). Continuous assessment policy implementation in selected local government areas of Ondo State (Nigeria): Implication for successful implementation of the UBE program. KEDI Journal of Educational Policy 5(1), 3-18.
5. Adetayo, J. O.  (2014)  Assessing the Affective Behaviours in Learners. Journal of Education and practice.  ISSN 2222-1735 (Paper)   ISSN 2222-288X (Online) Vol.5, No.16, 2014
6. Afemikhe, O. A. (2007). “Assessment and educational standard improvement: Reflections from Nigeria”. A paper presented at the 33rd Annual conference of the International Association for Educational Assessment  held at Baku, Azerbaijan. September 16th – 21st 2007.
7. Aida- Mehrad. A. (2016). Mini Literature Review of Self-Concept. Journal of Educational, Health and Community Psychology.  5(2), 62-66. doi: 10.12928 / jehcp.v5i2.6036.
8. Airasian, P. W. (2005). Classroomassessment:  Concept and application (5^th Ed.) Boston: McGrawHill.
9. Ajala, J.A. (2005) Evaluation in student classroom performance in Emeke, A.E. and Abe, C.V. (Eds.) Evaluation in Theory and |Practice, Ibadan Pen Services Ltd.
10. Ajuonuma, J. O. (2006). Competence Possess by Teachers in the Assessment of Students in the Universal Basic Education (UBE) Programme. A paper presented on the 2nd Annual National Conference of the Department of Educational Foundations. Enugu State University of Science and Technology.
11. Alonge, M.F. (2004) Measurement and evaluation in education and psychology 2nd edition, Ado-Ekiti, Adedayo Printing (Nig) Ltd.
12. Al-Sadaawi, A. S. (2007).  An investigation of performance-based assessment in an investigation of performance-based assessment and educational consequences, educational research review, 2, 130-144.
13. Alvermann, D. E. (2001). Effective Literacy Instruction for Adolescents. Executive summary and paper commissioned by the National Reading Conference. National Reading Conference. Chicago, IL.
14. Anderson, L.W., Bourke, S.F. (2000). Assessing affective characteristics in schools. Mahwah, NJ,: Lawrence
15. Andrade, H. G. (2000). Using rubric to promote thinking and learning. Educational Leadership, 57(5).
16. Andrade, H. G. (2005). Teaching with rubrics. College Teaching, 53(1), 27-30.
17. Anikweze, T. M. (2005, September). Assessment and the Future of School and Learning. A paper presented at the 31st Annual Conference of the International Association of Educational Assessment. Abuja, Nigeria 4th – 9th. answer: Mathematical knowledge and teaching. American Educational Research
18. Arhin, A. K. (2015). The Effect of Performance Assessment-Driven Instruction on the Attitude and Achievement of Senior High School Students in Mathematics in Cape Coast Metropolis, Ghana. Journal of Education and Practice. ISSN 2222-1735 (Paper) ISSN 2222-288X (Online) Vol.6, No.2, 2015.
19. Ashcraft, M. (2002).  Math anxiety: personal, educational, and cognitive consequences.  Current Directions in Psychological Science, 11(5), 181-185.
20. Avis, B. (2014).The Impact of Performance Assessment on Student’s Interest and Academic Performance in Science.    Published Master’s   Thesis, Univerisity of the West Indies.
21. Back, Sun-Geun and Hwang, Eun-Hui (2005). A quasi-experimental research on the educational value of performance assessment. Education Research Institute. Asia Pacific Education Review 6 (2), 179-190.
22. Bangert-Drowns, R, L., Hurley, M.M., and Wilkinson, B. (2004). The effects of school-based writing to learn interventions on academic achievement: A meta-analysis. Review of Educational Research, 74(1), 29-58.
23. Banta, T., and Associates. (2002). Building a scholarship of assessment. San Francisco: Jossey-Bass.
24. Barnett, R. (2007). Assessment in higher education: An impossible mission? In D. Boud and N. Falchikov (Eds.), Rethinking assessment in higher education: Learning for the longer term (pp. 29-40). London: Routledge.
25. Bassey, S. W and Idaka, I. E (2007). Reforming Assessment Practice in Nigerian schools: The option of Integrated Domain Bench Marking. University of Jos, 31st July- 3rd August.
26. Baxter, J. (2008). Writing in mathematics: alternative form of discourse for academically low achieving students. Perspectives on Language and Literacy, 34(2), 37-40.
27. Baxter, J., Woodward, J.A., and Olson, D (2005). Writing in mathematics: An alternative form of communication for academically low-achieving students. Learning Disabilities Research and Practice, 20(2), 119-135.
28. Baxter, P. and Jack, S. (2008). Qualitative Case Study Methodology. Study Design and  Implementation for Novice Researcher, In Qualitative Report, 13(4): 544 – 559
29. Beaver, C. and Beaver, S. (2011). The effect of peer assessment on attitudes of pre-service elementary and middle school teachers about writing and assessing math. Issues in the Undergraduate Mathematics Preparation of School Teachers, 5, 1-14.
30. Black, P., Harrison, C., Lee, C., Marshall, B. and Wiliam, D. (2004). Working inside the black box: Assessment for learning in the classroom. Phi Delta Kappan, 86: 9–21.
31. Booker, G., Bond, D., Sparrow, L., and Swan, S. ( 2004). Teaching Primary Mathematics. 3rd Edition, Pearson, Australia.
32. Booth, W. C., Colomb, G. G., and Williams, J. M. (2008) The Craft of Research. The University of Chicago Press: Chicago.
33. Burns, M. (2004). Writing in math. Educational Leadership, 62(2), 30-33.
34. Boud, D. (2000). Sustainable assessment: Rethinking assessment for the learning society. Studies in Continuing Education, 22(2), 151-167. doi: 10.1080/713695728
35. Boud, D. (2009). How can practice reshape assessment? . In G. Joughin (Ed.), Assessment, learning and judgement in higher education (pp. 1-15). Netherlands: Springer.
36. Boud, D., and Falchikov, N. (2005). Redesigning assessment for learning beyond higher education. Research and development in higher education, 28, 34-41.
37. Boud, D., and Falchikov, N. (2006). Aligning assessment with long‐term learning. Assessment and Evaluation in Higher Education, 31(4), 399-413. doi: 10.1080/02602930600679050
38. Braun, B. (2014). Personal, expository, critical, and creative: Using writing in mathematics courses. Primus, 24(6), 447-464.
39. Brown, G. T. L. (2004). Teachers' Conceptions of Assessment: Implications for  Policy and Professional Development. Assessment in Education. 11(3), 301318.
40. Bruun, F., Diaz, J. M., and Dykes, V. J. (2015). The language of mathematics. Teaching Children Mathematics, 21(9), 530-536.
41. Burton, L., and Morgan, C. (2000). Mathematicians writing. Journal for Research in Mathematics Education, 31(4), 429-453. doi:10.2307/749652.
42. Cai J., and Brook, M. (2006). Looking back in problem solving. Mathematics Teaching, 196, 42-45.
43. Carless, D. (2005). Prospects for the implementation of assessment for learning. Assessment in Education: Principles, Policy and Practice, 12(1), 39-54. doi: 10.1080/0969594042000333904
44. Carless, D. (2006). Differing perceptions in the feedback process. Studies in Higher Education, 31(2), 219-233.
45. Carless, D. (2007). Learning-oriented assessment: conceptual bases and practical implications. Innovations in Education and Teaching International, 44(1), 5766. doi: 10.1080/14703290601081332
46. Carless, D. (2009). Learning-oriented assessment: Principles and a project. In L. H. Meyer, S. Davidson, H. Anderson, R. Fletcher, P. M. Johnston and M. Rees (Eds.), Tertiary assessment and higher education student outcome: Policy, practice and research (pp.79-90). Wellington, New Zealand: Ako Aotearoa.
47. Carless, D., Joughin, G. And Mok, M. M. C. (2006). Learning-oriented assessment: Principal and Practice. Assessment and Evaluation  in  Higher Education.  31(4) :395- 398.
48. Carr, M. (2010). The importance of metacognition for conceptual change and strategy use in mathematics. In H. Salatas Walters and W. Schneider (Eds.), Metacognition, Strategy Use, and Instruction (pp. 176-197). New York, NY: The Guilford Press.
49. Chalmers, D. (2007). A review of Australian and international quality systems and indicators of learning and teaching. Carrick institute for learning and teaching in higher education. ALTC Project Report.
50. Cleary, T. J., and Zimmerman, B. J. (2004). Self-regulation empowerment program: a school-based program to enhance self-regulated and self-motivated cycles of student learning., Psychology in the Schools (Vol. 41, pp. 537-550): JosseyBass, A Registered Trademark of Wiley Periodicals, Inc., A Wiley Company.
51. Coats, M. and A. Stevenson (2006) Towards outcomes-based assessment: An unfinished story of triangulation and transformation. Paper presented at the Association for the Study of Evaluation and Assessment in Education in South Africa Conference (Johannesburg, South Africa).
52. Conaway, W. (2009). Andragogy: Does one size fit all? A study to determine the applicability of andragogical principles to adult learners of all ages. (Doctoral dissertation). Retrieved from ProQuest Dissertations and Thesis database. (UMI 336950)
53. Collen, M.H. (2011). Fifth grade children’s use of reciprocal teaching to solve word problems in mathematics (Doctoral thesis, State University of New York at Albany). Retrieved from ProQuest Dissertations & Theses A&I database.
54. Craig, T.S. (2016). The role of expository writing in mathematical problem solving. African Journal of research in mathematics, science and technology education, 20(1): 57-66.  doi: 10.1080/10288457.2016.1147803.
55. Cresswell J.W. (2002). Research Design: Qualitative, Quantitative and Mixed  Methods Approaches, New York. Sage Publication
56. Cresswell, J.W. and Miller, D.L. (2000). Determining Validity in Qualitative Inquiry:  Theory into Practice. 39(3), 124-130
57. Creswell, J. W. (2012). Educational Research: Planning, Conducting, and Evaluating quantitative and qualitative Research (4th ed.). USA: Pearson Education, Inc.
58. Creswell, J.W. (2003). Research Design: Qualitative, Quantitative and Mixed  Methods Approaches (2nd edition). London Sage Publications.
59. Creswell, J.W. (2008), Educational Research: Planning, Conducting and Evaluating  Quantitative and Qualitative Research. New Jersey Upper saddle River
60. Creswell, J. W. & Plano Clark VL 2007. Designing and conducting mixed methods research. Thousand Oaks, CA: Sage.
61. Cross, D.I. (2009). Creating optimal mathematics learning environments: Combining argumentation and writing to enhance achievement. International Journal of Science and Mathematics Education, 7(5), 905-930.
62. Cummings, R., Maddux, C. D., and Richmond, A. (2008). Curriculum-embedded performance assessment in higher education: maximum efficiency and minimum disruption. Assessment and Evaluation in Higher Education, 33(6), 599-605. doi: 10.1080/02602930701773067
63. De Vos, A., Strydom, H., Fouche, C., and Delport, C. (2011). Research at Crass Roots: For the Social Science and Human Service Professions (4th ed.). Pretoria: Van Schailk.
64. Demers, C. (2000). Beyond paper-and-pencil assessments. Science and Children, 38(2), 24.
65. Desoete, A., Roeyers, H., and Buysse, A. (2001). Metacognition and mathematical problem solving in Grade 3. Journal of Learning Disabilities, 34(5), 435-449.
66. Dessie, A. A. (2015).  Teachers’ practices of assessment for learning in science education at east Gojjam preparatory schools, Amhara regional state, Ethiopia.  Doctoral  dissertation. University of South Africa.
67. Department of Education and Early Childhood Development (DEECD) (2008). VELS Level 4 – Reciprocal Teaching www.education.vic.gov.au/studentlearning/ teachingresources/english/literacy.
68. Department of Education and Early Childhood Development (DEECD) (2007). More about reciprocal teaching. www.education.vic.gov.au/studentlearning/ teachingresources/english/literacy.
69. Department of Education and Training (DET) (2006). Reciprocal Teaching, http://english.unitecnology.ac.nz/resources/resources/reciprocal.html
70. Dündar, S. (2016). Does writing have any effect on math success? Journal of Education and Training Studies, 4 (1), 1-10.
71. Dunn, K. E., and Mulvenon, S. W. (2009). A critical review of research on formative assessment: The limited scientific evidence of the impact of formative assessment in education. Practical Assessment, Research and Evaluation, 14(7), 1-11.
72. Dunn, R.K. and Price, G.E. (2000) Learning style inventory Lawrence, Kans: Price System.
73. Ecclestone, K., and Pryor, J. (2003). "Learning careers" or "assessment careers"? The impact of assessment systems on learning. British Educational Research Journal, 29(4), 471-488.
74. Emaikwu, S.O.(2014) Issues in the assessment of effective classroom learning in Nigeria.Journal of Humanities and Social Science (IOSR-JHSS) 19(10) 1-8 e-ISSN: 2279-0837, P-ISSN:2279-0845.
75. English, N. B., and Keshavarz, M. H.  (2002).  Assessment of achievement through portfolios and teacher-made tests.  Educational Research, 44(3), 279-288.  Retrieved July 11, 2018, from EBSCOhost database.
76. Erinosho, S.Y. and Badru, A.K. (2000).  Classroom assessment and evaluation.  In S.Y. Erinosho, A. Adesanya and B. Ogunyemi (eds.), Teaching Effectiveness in Nigerian Schools.  Sam Bookman Publishers, Ibadan, Nigeria.  Pp. 85-98.
77. Etsey, K.A. (2005). Assessing Performance in schools: Issues and practice.Ife PsychologIA, An International Journal.5 (3)123-135.
78. Evans, S. and Swan, M. (2014). Developing student’s strategies for problem solving: the role of pre-designed “Sample Student Work”. Educational Designer, 2(7). Retrievedfrom:http://www.educationaldesigner.org/ed/volume2/issue7/article25/
79. Ezeh, D.N. (2005). Reliability and validation of tests. In B. G. Nworgu(Ed.), Educational measurement and evaluation: Theory and practice.Nsukka: University Trust Publishers.
80. Ezenwa-Nebife, D. C. (2014) Develpoment and validation of instrument for assessing jounior secondary schools Mathematics classroom environments in Enugu State of Nigeria. Published Doctoral Thesis University of Nigeria Nsuka.
81. Falchikov, N. (2005). Improving assessment through student involvement: Practical solutions for aiding learning in higher and further education. New York: NY: Routledge.
82. Fauziah, D.,  Mardiyana and Saputro, D. R. S. (2018). Mathematics authentic assessment on statistics learning: the case for student mini projects. International Conference on Mathematics, Science and Education 2017 (ICMSE2017) IOP Publishing IOP Conf. Series: Journal of Physics: Conf. Series 983 (2018) 012123  doi :10.1088/1742-6596/983/1/012123
83. Fernandes, S., Flores, M. A., and Lima, R. M. (2012). Student’s views of assessment in project-led engineering education: findings from a case study in Portugal. Assessment and Evaluation in Higher Education, 37(2), 163-178. doi: 10.1080/02602938.2010.515015
84. Gbore, L.O.(2013).  The Relative Effectiveness of Three Evaluation Techniques on Academic Performance of Secondary School Integrated Science Students in Ondo State, Nigeria. Journal of Education and Practice. ISSN 222-1735 (Paper) ISSSN 2222-288X (Online)  Vol.4, No.12, 2013
85. Ghrayeb, O., Damodaran, P.  and  Vohra, P. (2011).  Art of triangulation: an effective assessment validation strategy.  Global Journal of Engineering Education Volume 13, Number 3, 2011. WIETE 2011.
86. Gibbs, G., and Simpson, C. (2004). Conditions under which assessment supports student’s learning. Learning and Teaching in Higher Education, 1(1), 3-31.
87. Gillespie, A., Graham, S., Kiuhara, S., and Herbert, M. (2016). High school teachers use of writing to support student’s learning: a national study. Reading and Writing: An Interdisciplinary Journal, 27(6), 1043-1972.
88. Gipps, C. (2002). Sociocultural perspectives on assessment. In G. Wells and G. Claxton (Eds.), Learning for life in the 21 st century (pp. 73-83). Oxford: Blackwell.
89. Goos, M., Gannaway, D., and Hughes, C. (2011). Assessment as an equity issue in higher education: comparing the perceptions of first year students, course coordinators, and academic leaders. The Australian Educational Researcher, 38(1), 95-107 grade student’s problem solving performance. (Doctoral dissertation). Retrieved
90. Guba, E.G and Lincoln, Y. S. (2005). Paradigmatic, controversies, contradictions and emerging co influences  (pp. 191-216). In N. K. Denzin and Y. S. Lincoln. The Handbook of Qualitative Research, (3^rd ed.) London: sage publication.
91. Hall, C., and Jones, E. (2009). Assessment: A conceptual framework for education and training. Victoria Univerisity of Wellington, School of Education Psychology and Pedagogy.
92. Hargreaves, A., Earl, L., and Schmidt, M. (2002). Perspectives on alternative assessment reform. American Educational Research Journal, 39(1), 69-95.
93. Harlen, W. (2005). Teachers' summative practices and assessment for learning – tensions and synergies. Curriculum Journal, 16(2), 207-223. doi: 10.1080/09585170500136093.
94. Herbert, M.A., and Powell, S.R. (2016). Examining fourth grade mathematics writing: featuresoforganization, mathematics vocabulary, and mathematics representations. Reading and Writing: An Interdisciplinary Journal, 29(7), 1511-1537.
95. Herman, M. (2007). What students choose to do and have to say about use of multiple representations in college algebra. Journal of Computers in Mathematics and Science Teaching, 26(1), 27-54.
96. Hirvela, A., and Sweetland, Y.L. (2005). Two case studies of L2 writers’ experiences across learning-directed portfolio contexts. Assessing Writing, 10(3), 192-213. Retrieved28May2018fromhttp://edithchung.wikispaces.com/file/view/Two+case+studies+of+L2+writers%E2%80%99+experiences.pdf. http://dx.doi.org/10.1016/j.asw.2005.07.001
97. Holden, T., and Yore, L. (1996). Relationships among prior conceptual knowledge, metacognitive awareness, metacognitive self-management, cognitive style, perception judgement style, attitude towards school science, self regulation and science achievement in grade 6-7. Students. (Eric Document Service No. ED 395-832)
98. Huba, M. E. and Freed, J. E. (2007). Learner centred assessment on college campuses – shifting the focus from teaching to learning.  Allyn and Bacon
99. Huntley, M. A. and Davis, J. D. (2008). High-school student’s approaches to solving   Algebra problems that are posed symbolically: Results from an interview study.  School Science and Mathematics, 108(8), 380-388.
100. Hwang, W. Chen, N., Dung, J., and Yang, Y. (2007). Multiple representation skills and   creativity effects on mathematical problem solving using a multimedia whiteboard   system, Educational Technology & Society, 10(2), 191-212.
101. Idowu, A. I., and  Esere, M. O. (2009). Assessment in Nigerian schools: A Counsellor’s Viewpoint. Edo Journal of Counselling, 2(1), 17-27. An Official Publication of Edo State Chapter of Counselling Association of Nigeria
102. Inekwe, I. O. (2019). Mathemaphobia: The Differential Derivative. 43^rd  Inaugural lecture. Michael Okpara University of Agriculture, Umudike Abia State, Nigeria.17^th July, 2019
103. Jacobbe, T. (2007). Using Polya to overcome translation difficulties. Mathematics Teacher, 101(5), 390-393.
104. Johnson, B. and Christensen (2004) Educational Research: Quantitative and  Qualitative Mixed Approaches. (7th Edition) Boston: Pearson.
105. Johnson, R. B., Onwuegbuzie, A. J., and Turner,L. A. (2007). Towards a definition of mixed method Research.  Journal of Mixed Methods  Research, 1, 112-133. Doi: 101525/sp.1960.8.2/03a0003
106. Jonsson A. and Swingby G. (2007). The Use of Scoring rubrics: Reliability, Validity and educational consequences, Educational Research Review 2, 130-144.
107. Joughin, G. (2008). Assessment, learning and judgement: Emerging directions. In G. Joughin (Ed.), Assessment, learning and judgement in higher education (p. 215221). Australia: Springer. Journal for Research in Mathematics Education, 44(2), 340-352.  Journal, 27, 29-63.
108. Kennedy, K. J., Chan, J. K. S., Fok, P. K., and Yu, W. M. (2008). Forms of assessment and their potential for enhancing learning: conceptual and cultural issues. Educational Research for Policy and Practice, 7(3), 197-207.
109. Kenney, R., Shoffner, M., and Norris, D. (2014). Reflecting on the use of writing to promote mathematical learning: An examination of preservice mathematics teachers' perspectives. Teacher Educator, 49(1), 28-43.
110. Ker, H.W. (2013). Trend analysis on mathematics achievement. Acomparative study using TIMSS data. Universal Journal ofEducational Research,1(3), 200-203.
111. Keppell, M., and Carless, D. (2006). Learning oriented assessment: a technology based case study. Assessment in education, 13(2), 179-191.
112. Knight, D., Kotys-Schwartz, D. and Pawlas, G., (2010).  Triangulation: an effective assessment tool for capstone design program evaluation. Proc. Capstone Conference (2010) (Capstone Conference Paper 2010).
113. Knight, P. (2006). The local practices of assessment. Assessment & Evaluation in Higher Education, 31(4), 435-452. doi: 10.1080/02602930600679126
114. Knight, P. (2002).  A briefing on key concepts: Formative and summative, criterion and norm-referenced assessment. London: LTSN Generic Centre.
115. Knowles, M (1977). Adult learning processes: Pedagogy and andragogy. Religious Education, 122, 203-211.
116. Knox, H. (2017). Using writing strategies in math to increase metacognitive skills for the gifted learner. Gifted Child Today, 40(1), 43-47.  doi:http://dx.doi.org.libproxy.uwyo.edu/10.1177/
117. Kobayashi, K. (2005). What limits the encoding effect of note-taking? A meta-analytic examination. Contemporary Educational Psychology, 30, 242-262.
118. Kuhn, D., and Dean  Jr., D. (2004). Metacognition: a bridge between cognitive psychology and educational practice. Theory Into Practice (Vol. 43, pp. 268273): Lawrence Erlbaum Associates
119. Kunandar (2009). Guru Profesional, Implementasi Kurikulum Tingkat Satuan Pendidikan (KTSP) dan Sukses dalam Sertifikasi Guru (Jakarta: Rajawali Pers).
120. Kurebwa, M. (2012). Assessment problems in Zimbabwe’s primary schools with special reference to Gweru district schools. Published Doctoral  Thesis Zimbabwe Open University.
121. Kwon, O., Park, J., and Park, J. (2006). Cultivating divergent thinking in mathematics through an Open –Ended Approach. Asia Pacific Education Review, 7(1), 51-61.
122. Lampert, M. (1990). When the problem is not the question and the question is not the answer: mathematical knowledge and teaching. American Educational Research Journal, 27, 29-63.
123. Lampert, M. (2001). Teaching problems and the problems of teaching. New Haven, CT: Yale University Press.
124. Ludwig, C. (2000) Literacy in the learning areas: A proposition. Literacy Learning, the Middle Years 8.1
125. Leathwood, C. (2005). Assessment policy and practice in higher education: Purpose, standards and equity. Assessment and Evaluation in Higher Education, 30(3), 307324.
126. Lee, S. (2009). The effect of instruction in alternative solutions on Taiwanese eighth- grade student’s problem solving performance. (Doctoral dissertation). Retrieved from DAI. (1-109-35629-3).
127. Lemos, M. S. (1999). Students and rsquo; goals and self-regulation in the classroom. International Journal of Educational Research, 31(6), 471-485.
128. Levine, T. (2002). Stability and change in curriculum evaluation. Studies In Educational Evaluation, 28(1), 1-33.
129. Liu, N. F., and Carless, D. (2006). Peer feedback: the learning element of peer assessment. Teaching in Higher Education, 11(3), 279-290.
130. Livingston, J. (2003). Metacognition: an overview. (ERIC Document Reproduction Service No. ED 474 273).
131. Lopez-Fernandez, O., and Molina-Azorin, J. F. (2011). The use of mixed methods research in the field of behavioural sciences. Qual Quant, 45, 1459-1472.
132. Madison, B. (2012). If only math majors could write…Numeracy, 5 (1) 1-10 http://dx.doi.org/10.5038/1936-4660.5.1.6.
133. Martin, C.L. (2015). Writing as a tool to demonstrate mathematical understanding. School Science and Mathematics, 115(6), 302-313.
134. Marzano, R.,  and Pickering, D., (2005) Building academic vocabulary: Teachers Manual. Association for Supervision and Curriculum Development, Virginia, USA.
135. Mason, L., and Santi, M. (1994). Argumentation structure and metacognition in constructing shared knowledge at school. (ERIC Document Reproduction Service No. ED 371041). mathematics: Reasoning and sense making. Reston, VA: Author.
136. Mason, J. (1996). Qualitative researching. London; Sage.
137. May, D. K. (2009).  Mathematics Self-Efficacy and anxiety Questionnaire.A Doctoral  Dissertation Submitted to the Graduate Faculty of The University of Georgia,Athens, Georgia
138. Merriam, S. B. (2009). Qualitative research: A guide to design and implementation.  San  Francisco: Jossey-Bass.
139. Mertler, C. (2014).   Action research: Improving schools and empowering educators. Thousand Oaks, CA: Sage.
140. McCormick, K. (2010). Experiencing the power of learning mathematics through writing. Issues in the Undergraduate Mathematics Preparation of School Teachers, 4, 1-8.
141. McDowell, L., Wakelin, D., Montgomery, C., and King, S. (2011). Does assessment for learning make a difference? The development of a questionnaire to explore the student response. Assessment and Evaluation in Higher Education, 36(7), 749765.
142. McMillan J H (2004) Classroom Assessment: Principles and Practice for Effective Instruction (3rd Edition) (Boston: Pearson Education)
143. McMunn N.D. and Butler, S.M. (2011). Teachers Guide to Classroom assessment:  Understanding and Using Assessment to improve learning. Jossey Buss.
144. Meier, J. and Rishel, T. (1998). Writing in the teaching and learning of mathematics. Washington, DC: The Mathematical Association of America.
145. Meyer, K. (2010). ‘Diving into reading’: Revisiting reciprocal teaching in the  middle years. Literacy Learning: the Middle Tears, 15(1), 41-52.
146. Mislevy, R. J. (2004). The case for an integrated design framework for assessing science inquiry (CSE Report No. 638). Los Angeles: Center for Research on Evaluation Standards and Student Testing (CRESST).
147. Moon, T., Brighton, C., Callahan, C., and Robinson, A. (2005). Development of authentic assessments for the middle school classroom. The Journal of Secondary Gifted Education, XVI(2/3), 119-133.
148. Morrison, J., McDuffie, A., and Akerson, V. (2003). Preservice teachers' development and implementation of science performance assessment tasks. (ERIC Document Reproduction Service No. ED 478065).
149. Moskal, B. M. (2003a). Developing Classroom Performance Assessments and Scoring Rubrics - Part I. ERIC Digest.
150. Mueller, J.(2005) Journal of Online Learning and Teaching 1 1
151. Muis, K. R. (2004). Personal epistemology and mathematics:  A critical review and synthesis of research. Review of Research in Education, 74(3), 317-377.
152. National Council of Teachers of Mathematics (NCTM). (2000). Principals and Standards for School Mathematics. Reston, VA: Author.
153. National Council of Teachers of Mathematics (NCTM). (2014). Principles to actions:  Ensuring mathematics success for all. Reston, VA: NCTM.
154. National Council of Teachers of Mathematics Research Committee. (2013). New assessments for new standards:  Curriculum focal points.
155. National Council of Teachers of Mathematics. (2009). Focus in high school  Adding it up: Helping children learn mathematics.
156. Nelson, K. H. (2010). CS97 Triangulation in Assessment  of Student Learning Outcomes.Paper presented at the Southern  Association of Colleges and Schools Commission on Colleges Annual Meeting, Louisville, KY.
157. Newstead, S. (2003). The purposes of assessment. Psychology Learning and Teaching, 3(2), 97-101.
158. Nezakatgoo, B. (2011). The effects of portfolio assessment on writing of EFL students. ELT Journal, 4(2), 231-241.
159. Ngeng, G. Y (2016).Meaning of achievement. Retrieved on 2 February 2010http://www.navigategroup.co.uk.
160. Nguon, S. (2013).   Assessment practices in a cambodian university: through the lens of lecturers and students. Master’s Thesis, Victoria University of Wellington.
161. Nicol, D. J., and Macfarlane-Dick, D. (2006). Formative assessment and self-regulated learning: A model and seven principles of good feedback practice. Studies in Higher Education, 31(2), 199-218.
162. Niger Delta Development Commission(NDDC) (2003). The Journey so far.
163. Port-Harcourt Corporate  Affairs Department.
164. Nilson, L. B. (2003). Teaching at its best: A – based research resource for college instructors (2^nd Ed.). San Francsico : Jossey- Ba
165. Nitko A.J. (2004). Educational Assessments of Learners, Englewood Cliffs. NJ.  Prentice Hall.
166. Nitko, A.J (2001). Educational Assortment of Learners (3rd Ed.). Upper Saddle River,  NJ:  Merrill Anastas Norwood, MA: Christopher-Gordon Publishers.
167. Ntenza, S. P. (2006). Investigating forms of children's writing in grade 7 mathematics classrooms. Educational Studies in Mathematics, 61(3), 321-345.
168. O’Connel, S.R., Baemon, C., Beyea, C., Denvir, S.S., Dowdall, L.A., Friedland, N.G.,& Ward, J.D. (2005). Aiming for understanding: Lessons learned about writing in mathematics. Teaching Children Mathematics, 12(4), 192-199.
169. Ogunleye, A. W. and  Omolayo, O. V. (2016).   Classroom assessment in secondary schools in Nigeria.International Journal of Social Science  5 (1) • 1-6: March 2016 International Conference on Mathematics, Science and Education.
170. Oguneye, W. (2002). Continuous Assessment: Practice and Prospects. Lagos: providence publisher.
171. O'Kelley, S. K. (2013). Helping teachers connect writing to doing mathematics. SRATE Journal, 23(1), 18-23.
172. Onwuachu, W. C and Nwakonobi, F. E. (2009). Student’s Evaluation of Classroom Interaction of their Biology Teachers: Implication for Curriculum Implementation. African Research Review.International Multi Disciplinary Journal.3 (1): 349-361.
173. Organization for Economic Cooperation and Development. (2005). Formative assessment: Improving learning in secondary classroom. Paris: OECD.
174. Orsmond, P., Merry, S., and Reiling, K. (2002). The use of exemplars and formative feedback when using student derived marking criteria in peer and selfassessment. Assessment and Evaluation in Higher Education, 27(4), 309-323. doi: 10.1080/0260293022000001337.
175. Owolabi, H.O. and Olasehinde-Williams F.A.O. (2007).  An Evaluation of Affective and Psychomotor Behaviours in School Based Assessment.  A paper presented at National Conference on School Based Assessment Organized by the National Association of Educational Researchers and Evaluators at Olabisi Onabanjo University, Ago-Iwoye from 3rd to 6th December, 2007. Pearson Prentice Hall.
176. Palmer, Kristy M., (2018). Learning Mathematics the Write Way: How does Writing in Mathematics affect Mathematics Learning in Middle School? (2018).SMTC Plan B Papers. 70. http://repository.uwyo.edu/smtc_plan_b/70
177. Paris, S.G., and Paris, A.H. (2001). Classroom applications of research on self-regulated learning. Educational Psychologist, 36(2), 89-101.
178. Peatling, L. (2000, 4-7 December 2000). Introducing students to peer and self assessment. Paper presented at the AARE (Australian Association for Research in Education), Australia. perception-judgment style, attitude toward school science, self-regulation, and science achievement in grades 6-7 students. (ERIC Document Reproduction Service No.ED 395 832)
179. Perlman, C. C. (2003). Performance Assessment: Designing Appropriate Performance Tasks and Scoring Rubrics.
180. Peterson, S. S. (2007). Teaching content with the help of writing across the curriculum. Middle School Journal, 39 (2), 26-33.
181. Petrosyan, S., Khachatryan, S., Khachatryan, H.,Arakelyan, M., Aranaudyan, A.,Zohrabyan, A.  and Varrella,G.(2005). Integrated Social Studies Instruction, Curriculum Design and Models: An Educator’s Handbook. Yerevan: Bureau of Educational and Cultural Affairs.
182. Pintrich, P. R. (2002). The role of meta-cognitive knowledge in learning, teaching, and assessing.  Theory into Practice, 41(4), 219-225.
183. Pinzker, V.  (2001).  Increasing the engagement and understanding of concepts in mathematics.  Unpublished doctoral dissertation, Saint Xavier University, Illinois.  Retrieved June 4, 2018, from EBSCOhost database.
184. Polya, G. (1945). How to Solve It: A New Aspect of Mathematical Method. Princeton University Press, Princeton, NJ.
185. Porter, M. K., and Masingila, J.O. (2000). Examining the effects of writing on conceptual and procedural knowledge in Calculus. Educational Studies in Mathematics, 42, 165-177. potential transformation of mathematics education and its research implications  prekindergarten through grade 8 mathematics. Reston, VA: Author.
186. Price, M., Carroll, J., O’Donovan, B., and Rust, C. (2011). If I was going there I wouldn’t start from here: a critical commentary on current assessment practice. Assessment and Evaluation in Higher Education, 36(4), 479-492. doi: 10.1080/02602930903512883.
187. Pugalee, D. (2005). Writing to develop mathematical understanding. Newport, MA: Christopher Gordon Publishers.
188. Pugalee, D. K. (2004). A comparison of verbal and written descriptions of student’s problem solving processes. Educational Studies in Mathematics, 55(1-3), 27-47.
189. Pugalee, D.K. (2001) Writing, mathematics, and metacognition: Looking for connections through student’s work in mathematical problem solving. School Science and Mathematics, 101(5), 236-245
190. Quirk, P.J. (2010). Using reciprocal teaching and learning methods to enhance comprehension in mathematics word problems) Master of Education thesis, Massey University, Palmerston North, New Zealand). Retrieved from http://mro.massey.ac.nz/handle/10179/2247.
191. Quible, Z. K., and Griffin, F. (2007). Are writing deficiencies creating a lost generation of business writers? Journal of Education for Business, 83(1), 32-36.
192. Quinones, C. ( 2005). The Effects Of Journal Writing On Student Attitudes And Performance In Problem Solving.Electronic Theses and Dissertations. 377. http://stars.library.ucf.edu/etd/377
193. Reilly, E. M. (2007).  Writing to learn mathematics: A mixed method study. Published Doctorate  dissertation, Indiana University of Pennsylvania
194. Reilly, Y., Parsons, J. And Bortolot , E. (2014) Reciprocal Teaching in Maths: a learning strategy that builds problem solving skills and improves mathematical literacy  for students. Sunshine College, Victoria.Retrived from http://www.aucklandmaths.org.nz/wp-content/uploads/2014/06/Reciprocal-teaching-in-Mathematics/pdf
195. Renninger, K. A., and  Hidi, S. (2002). Student interest and achievement: Developmental issues raised by a case study. In A. Wigfield, & J. S. Eccles (Eds.), Development of achievement motivation (pp. 173-195). New York, NY: Academic Press.
196. Renzulli, J. S. (1997). Interest-A-Lyzer. Mansfield Center, CT: Creative Learning Press, 1997.
197. Ridenour, C. S., and Newman, I. (2008). Mixed Methods Research: Exploring the Interactive Continuum. USA: Southern Illinois University Press.
198. Riplinger, N. (2008).  A Critical Review of Writing in the Mathematics Classroom  with Students with Learning Difficulties.  Coursework Project EDSP9012 for  Masters of Special Education  Flinders University.
199. Rule, A. C. (2006). The Components of Authentic Learning. Journal of Authentic  Learning. 3(1),1–10.
200. SACS Handout for the 2010 meeting of the Commission on Colleges of the Southern Association of Colleges and Schools Louisville Kentucky December 2010.
201. Sadler, D. R. (2005). Interpretations of criteria‐based assessment and grading in higher education. Assessment and Evaluation in Higher Education, 30(2), 175-194. doi: 10.1080/0260293042000264262.
202. Sagaskie, E. E. (2014).  "The  Effect of Instruction in Alternative Solutions on American Ninth-Grade Algebra I Student’s Problem Solving Performance" (2014).Dissertations.Paper 969.
203. Santos, L. and Semana, S. (2015). Developing mathematics written communication through expository writing supported by assessment strategies. Educational Studies In Mathematics, 88(1), 65-87.
204. Schraw, G. (1998). Promoting general metacognitive awareness. Instructional Science, 26(1/2), 113-125. science in saudi primary schools Doctoral Thesis Victoria University Melbourne-Australia.
205. Schunk, D. H., Pintrich, P. R., and Meece, J. L. (2008). Motivation in education (3rd ed.). Columbus, OH: Merrill.
206. Shepard L. A. (2000). The role of classroom assessment in teaching and learning (CSE Technical Report 517). Los Angeles, CA: National Center for Research on Evaluation, Standards, and Student Testing, Graduate School of Education and Information Studies, University of California/Santa Cruz, CA: Center for Research on Education, Diversity and Excellence, University of California. Availableathttp://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.588.4254andrep=rep1andtype=pdf. Accessed 14 June 2018
207. Shepard, L. A. (2000). The Role of Assessment in a Learning Culture. Educational  Researcher, 29(7), 4–14.
208. Sinwell, B. J.(2017). Formative Assessment Strategies for Mathematical Thinking: A Qualitative Action Research Study.(Doctoral dissertation). Retrieved fromhttp://scholarcommons.sc.edu/etd/4112.
209. Siemon, D. and Virgona, J., (2007) Reflections on the middle Years Numeracy Research  Project – is it a case of too much too soon, for too many? Proceedings of the 25th Annual conference of the Mathematics Education Research Group of Australasia, pp 617 – 624
210. Smith, M. E., Teemant, A. And Pinnegar, S. (2004). Principle and practice of socio-cultural assessment: Foundations for effective strategies for linguistically diverse classroom. Multicultural  perspective, 6, 38-46.
211. So, W. W. M., and Lee, T. T. H. (2011). Influence of teachers’ perceptions of teaching and learning on the implementation of assessment for learning in inquiry study. Assessment in Education: Principles, Policy and Practice, 18(4), 417-432.
212. Sperling, R. A., Howard, B. C., Staley, R., and DuBois, N. (2004). Metacognition and self-regulated learning constructs. Educational Research and Evaluation, 10(2), 117-139.
213. Stiggins R., and Chappuis S. (2005). Putting Testing in Perspective. Its for Learning.  Principal Leadership (High School Ed). 6 (2), 16-20
214. Stiggins R.J., (2008). Learner Involved Assessment for Learning (5th Ed), Upper  Saddle River, New Jersey, Pearson Education Inc.
215. Stiggins, R. (2004). New assessment beliefs for a new school mission. Phi Delta Kappan, 86(1), 22-27.
216. Stiggins, R. J. (2001). Learner-involved classroom assessment (3rd ed.). Upper  Saddle River, NJ: Merrill/Prentice-Hall.
217. Stiggins, R. J. (2002). Assessment Crisis: The Absence of Assessment for Learning.  Phi DeltaKappan, 83(10), 758–765.
218. Stonewater, J. (2002). The mathematics writer's checklist: The development of a preliminary assessment tool for writing in mathematics. School Science and Mathematics, 102(7), 324-334.  Retrieved May  29, 2018, from Academic Research Library database. (Document ID: 237923191).
219. Stonewater, J.K. (2000). The mathematics writer’s checklist: The development of a primary assessment tool for writing in mathematics. School Science and Mathematics, 102(7), 324-334.
220. Sung-Eun Kim, S. E.(2005). Effects of Implementing Performance Assessments On Student Learning: Meta-Analysis Using Hlm . A Thesis for Doctor of Philosophy, Pennsylvania State University.
221. Swan M. and Burkhardt H. (2014). A designer speaks: Designing assessment of performance in mathematics.  Educational Designer, 2(7). Retrieved from  http://www.educationaldesigner.org/ed/volume2/issue7/article24/
222. Taras, M. (2005). Assessment–summative and formative–some theoretical reflections. BritishJournal of Educational Studies, 53(4), 466-478.
223. Taylor, B., and Kroth, M. (2009). Andragogy’s transition into the future: meta-analysis of andragogy and its search for a measurable instrument. Journal of Adult Education, 38, -11.  Teacher, 101(5), 390-393.
224. Thomas, B., Lightcap, T., and Rosencranz, L. (2005). Taming the hydra: A triangulation approach to assessing an    interdisciplinary core curriculum. [Online]
225. Thompson,D. R., Kersaint, G.,Richards,J. C., Hundsader,P. D. and Rubenstein, R. N. (2008). Mathematical Literacy: Helping Students Make Meaning in the Middle Grades through an Open-Ended Approach. Asia Pacific Education Review, 7(1), 51-61.
226. Udofia, N. A. and Uko, M.P. (2016) Vertical Scaling in Standards-Based Educational Assessment and Accountability in Educational Systems. IOSR Journal of Research and Method in Education   (IOSR-JRME)  e-ISSN: 2320–7388,p-ISSN: 2320–737X Volume 6, Issue 4 Ver. I (Jul. - Aug. 2016, PP 65-75 www.iosrjournals.org DOI: 10.9790/7388-0604016575.
227. Udo, A. O. (2003). Hypotheses Testing in Education: An Illustration: Joe Graph Publications, Ikot Ekpene, Akwa Ibom State
228. Uno, H. B. and Koni,B. (2012). Assessment Pembelajaran (Jakarta: Bumi Aksara).
229. Van Dyke, F., Malloy, E. J., and Stallings, V. (2014). An activity to encourage writing in mathematics. Canadian Journal of Science, Mathematics and Technology Education, 14(4), 371-387.
230. Van Dyke, F., Malloy, E. J., and Stallings, V. (2015). Conceptual writing in college-level mathematics courses and its impact on performance and attitude. International Journal of Mathematical Education in Science and Technology, 46(2), 223-233.
231. Vygotsky, L. S. (1987). Thinking and speech. In R. W. Rieber and A. S. Carton (Eds.), The  Collected Works of L. S. Vygotsky, Plenum Press, New York. 39-243.
232. Wang, Y. H., and Liao, H. C. (2008). The application of learning portfolio assessment for students  in the technological and vocational education system. Asian EFL Journal, 10(2), 132154. Washington, DC: National Academy Press.
233. Weigle, S. C. (2002). Assessing writing, Cambridge: Cambridge University Press.
234. Wei, T.(2014). Measuring Mathematics Interest and Affect: An Item Response Theory Evaluation of the Self Description Questionnaire I (SDQI). A published Doctoral Dissertation, Texas University USA.
235. Werth, E., and Werth, L. (2011). Effective training for millennial students. American Association for Adult and Continuing Education, 22(3), 12-19.
236. Weurlander, M., Söderberg, M., Scheja, M., Hult, H., and Wernerson, A. (2012). Exploring formative assessment as a tool for learning: student’s experiences of different methods of formative assessment. Assessment and Evaluation in Higher Education, 37(6), 747-760.
237. Wessman Huber, C. (2011). The impact of Reciprocal Teaching on mathematics problem solving for Grade 4 students (Doctoral thesis, Central Connecticut State University, New Britain, CT). Retrieved from  ProQuest Dissertations & Theses A&I database.
238. Wiggins, G., and McTighe, J. (2005). Understanding by design (2nd ed.). Alexandria, VA: Association for Supervision and Curriculum Development.
239. Wilcox, B., and Monroe, E. E. (2011). Integrating writing and mathematics. The Reading Teacher, 64(7), 521-529.
240. Willis, J. (2011). Affiliation, autonomy and assessment for learning. Assessment in Education: Principles, Policy and Practice, 18(4), 399-415.  Yale University Press.
241. Yang, Nae-Dong. (2003). “Integrating Portfolios into Strategy-based Instruction for EFL college  Students”. IRAL. 41. 293-317.
242. Yorke, M. (2003). Formative assessment in higher education: Moves towards theory and    the enhancement of pedagogic practice. Higher Education, 45(4), 477-501.
243. Zimmerman, B. J. (1999). Commentary: toward a cyclically view of self-regulated   learning. International Journal of Educational Research, 31(6), 545-551.