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Improving Teachers’ Assessment Literacy in Singapore Mathematics Classrooms: Authentic Assessment Task Design

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Part of the book series: Mathematics Teacher Education ((MTEN,volume 11))

Abstract

In this chapter, we present a school-based, practice-oriented professional development approach to mathematics authentic assessment task design and examine its impact on elementary mathematics teachers’ assessment literacy. The quality of teachers’ assessment tasks used in the day-to-day mathematics instruction was used as an indicator of teachers’ assessment literacy. We believe that authentic assessment tasks provide rich learning opportunities for students to develop their mathematical literacy, which was evident in students’ work. In addition, teachers’ active involvement in the design and implementation of mathematics authentic assessments has the potential to increase their diagnostic competence. Singapore, one of the high-performing education systems in the world, was used as an example to demonstrate the importance of improving mathematics teachers’ assessment literacy in the context of twenty-first century teaching and learning. The chapter ends with some recommendations for using mathematics authentic assessments to increase teachers’ diagnostic competence. It also includes some suggestions for future research.

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References

  • Beesey, C., Clarke, B. A., Clarke, D. M., Stephens, M., & Sullivan, P. (1998). Effective assessment for mathematics. Carlton, VIC: Board of Studies/Addison Wesley Longman.

    Google Scholar 

  • Borko, H., Mayfield, V., Marion, S., Flexer, R., & Cumbo, K. (1997). Teachers’ developing ideas and practices about mathematics performance assessment: Success, stumbling blocks, and implications for professional development. Teaching and Teacher Education, 13(3), 259–278.

    Article  Google Scholar 

  • Bransford, J., Darling-Hammond, L., & LePage, P. (2005). Introduction. In L. Darling-Hammond & J. Bransford (Eds.), Preparing teachers for a changing world: What teachers should learn and be able to do (pp. 1–39). San Francisco, CA: Jossey-Bass.

    Google Scholar 

  • Chapman, O. (2013). Engaging children in learner-focused mathematical tasks. Plenary presentation at the 13th Biannual International Symposium for Elementary Mathematics Teaching [SEMT-13], Charles University, Prague.

    Google Scholar 

  • Clarke, D. (1996). Assessment. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education (Vol. 1, pp. 327–370). Dordrecht, The Netherlands: Kluwer Academic.

    Google Scholar 

  • Cockcroft, W. H. (1982). Mathematics counts. The Cockcroft report. London: Her Majesty’s Stationery Office.

    Google Scholar 

  • Fan, L. (2002). In-service training in alternative assessment with Singapore mathematics teachers. The Mathematics Educator, 6(2), 77–94.

    Google Scholar 

  • Garet, M. S., Porter, A. C., Desimore, L., Birman, B. F., & Yoon, K. S. (2001). What makes professional development effective? Results from a national sample of teachers. American Educational Research Journal, 38(4), 915–945.

    Article  Google Scholar 

  • Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65–97). New York, NY: Macmillan.

    Google Scholar 

  • Hoth, J., Döhrmann, M., Kaider, G., Busse, A., König, J., & Blömeke, S. (2016). Diagnostic competence of primary school mathematics teachers’ during classroom situations. ZDM Mathematics Education, 48, 41–53.

    Article  Google Scholar 

  • Koh, K. (2011a). Improving teachers’ assessment literacy through professional development. Teaching Education, 22(3), 255–276.

    Article  Google Scholar 

  • Koh, K. (2011b). Improving teachers’ assessment literacy. Singapore: Prentice Hall.

    Google Scholar 

  • Koh, K. (2014). Authentic assessment, teacher judgment and moderation in a context of high accountability. In C. Wyatt-Smith, V. Klenowski, & P. Colbert (Eds.), Designing assessment for quality learning (Vol. 1, pp. 249–264). Dordrecht, Netherlands: Springer.

    Chapter  Google Scholar 

  • Koh, K. (2015). The use of video technology in pre-service teacher education and inservice teacher professional development. In S. F. Ng (Ed.), Cases of mathematics professional development in east asian countries (pp. 229–247). Singapore: Springer.

    Chapter  Google Scholar 

  • Koh, K., & Luke, A. (2009). Authentic and conventional assessment in Singapore schools: An empirical study of teacher assignments and student work. Assessment in Education: Principles, Policy & Practice, 16(3), 291–318.

    Article  Google Scholar 

  • Koh, K., Burke, L. E. C., Luke, A., Gong, W. G., & Tan, C. (2017). Developing the assessment literacy of teachers in Chinese language classrooms: A focus on assessment task design. Language Teaching Research., doi: 10.1177/136216881668436

    Google Scholar 

  • McClung, M. S. (1979). Competency testing programs: Legal and educational issues. Fordham Law Review, 47, 652–711.

    Google Scholar 

  • Ministry of Education. (2006). Mathematics syllabus primary. Singapore: Curriculum Planning and Development Division, Ministry of Education.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1991). Professional standards for teaching mathematics. Reston, VA: Author.

    Google Scholar 

  • National Council of Teachers of Mathematics. (1995). Assessment standards for school mathematics. Reston, VA: Author.

    Google Scholar 

  • Nickerson, S. D., & Masarik, D. K. (2010). Assessing teachers’ developing interpretive power: Analysing student thinking. Mathematics Teacher Education and Development, 12(1), 19–29.

    Google Scholar 

  • OECD. (2013). PISA 2012 Assessment and analytic framework: Mathematics, reading, science, problem-solving, and financial literacy. Paris: PISA, OECD Publishing.

    Book  Google Scholar 

  • Popham, W. J. (2009). Assessment literacy for teachers: Faddish or fundamental? Theory Into Practice, 48, 4–11.

    Article  Google Scholar 

  • Prenzel, M. (2013). Introduction: Research on PISA, with PISA, and for PISA. In M. Prenzel, M. Kobarg, K. Schöps, & S. Rönnebeck (Eds.), Research on PISA. Dordrecht, Netherlands: Springer.

    Chapter  Google Scholar 

  • Putnam, R. T., Lampert, M., & Peterson, P. L. (1990). Alternative perspectives on knowing mathematics in elementary schools. In C. Cazden (Ed.), Review of research in education (Vol. 16, pp. 57–152). Washington, DC: American Educational Research Association.

    Google Scholar 

  • Ramaprasad, A. (1983). On the definition of feedback. Behavioural Science, 28, 4–13.

    Article  Google Scholar 

  • Romberg, T. A. (2001). Understanding the standards-based reform movement in school mathematics. The Mathematics Educator, 6(1), 17–21.

    Google Scholar 

  • Ruiz-Primo, M. A., Shavelson, R. J., Hamilton, L., & Klein, S. (2002). On the evaluation of systemic science reform: Searching for instructional sensitivity. Journal of Research in Science Teaching, 39(5), 369–393.

    Article  Google Scholar 

  • Schoenfeld, A. H. (2002). Making mathematics work for all children: Issues of standards, testing, and equity. Educational Researcher, 31(1), 13–25.

    Article  Google Scholar 

  • Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning (pp. 334–370). New York: MacMillan.

    Google Scholar 

  • Senk, S. L., Beckmann, C. B., & Thompson, D. R. (1997). Assessment and grading in high school mathematics classrooms. Journal of Research in Mathematics Education, 28, 187–215.

    Article  Google Scholar 

  • Silver, E. A., Mesa, V. M., Morris, K. A., Star, J. R., & Benken, B. M. (2009). Teaching mathematics for understanding: An analysis of lessons submitted by teachers seeking NBPTS certification. American Educational Research Journal, 46(2), 501–531.

    Article  Google Scholar 

  • Stiggins, R. J. (1991). Assessment literacy. Phi Delta Kappan, 72(7), 534–539.

    Google Scholar 

  • Webb, D. C. (2009). Designing professional development for assessment. Educational Designer, 1(2), 1–26. Retrieved from http://www.educationaldesigner.org/ed/volume1/issue2/article6

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Correspondence to Kim Koh .

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Appendix A

Appendix A

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Koh, K., Chapman, O. (2018). Improving Teachers’ Assessment Literacy in Singapore Mathematics Classrooms: Authentic Assessment Task Design. In: Leuders, T., Philipp, K., Leuders, J. (eds) Diagnostic Competence of Mathematics Teachers. Mathematics Teacher Education, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-319-66327-2_11

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  • DOI: https://doi.org/10.1007/978-3-319-66327-2_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66325-8

  • Online ISBN: 978-3-319-66327-2

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