In-Service Postgraduate Diploma in Education: EDUM3 : Effective Assessment in Mathematics

Week 1

Course Overview

Introduction to Assessment

What is assessment?

General overview of assessment types

Required Reading

• Brown, G. T. (2019, June). Is assessment for learning really assessment? In Frontiers in Education (Vol. 4, p. 64). Frontiers

Media SA

Week 2

Analyzing practical activities for learning and assessment

Introduction to Problem-Solving

Assessing problem-solving

Does this activity develop conceptual knowledge, problem solving skills and procedural knowledge?

Appropriate use of AI in developing and assessing problem-solving tasks

Required Reading:

• Schoenfeld, A. H. (2014). Measures of Problem-Solving Performance and Problem-Solving Instruction. In Schoenfeld, A. H. (2014). Mathematical problem solving (pp.216-241). Elsevier.
• Rittle-Johnson, B., & Schneider, M. (2015). Developing conceptual and procedural knowledge of mathematics. In R. C. Kadosh & A. Dowker (Eds.), Oxford library of psychology. The Oxford handbook of numerical cognition (p. 1118–1134). Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.014

•  Measures of Problem-Solving Performance and Problem-Solving Instruction 

   

•  Developing Conceptual and Procedural Knowledge of Mathematics 

Recommended Reading:

• Schoenfeld, A. H. (2016). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics (Reprint). Journal of Education, 196(2), 1-38. https://doi.org/10.1177/002205741619600202

Week 3

Assessment in Mathematics Education

Clarifying and negotiating the meaning of learning objectives

Clarifying criteria of quality and success criteria

Required Reading:

• Hattie, J. (2012). Visible learning for teachers: Maximizing impact on learning. Routledge. https://doi.org/10.4324/9780203181522-8  Chapter 7, pp 129-154
• Hattie, J., & Clarke, S. (2018). Visible learning: feedback. Routledge. https://doi.org/10.4324/9780429485480. Chapter 1

Week 4

Assessment in Mathematics Education

Questioning strategies

Required Reading:

• Doherty, J. (2018). Skilful questioning: The beating heart of good pedagogy. Impact, 1, 26-29. https://www.mkitt.co.uk/wp-content/uploads/2019/03/1-Skilful-questioning.pdf

Recommended Reading:

• Sardareh, S. A., Saad, M. R., Othman, A. J., & Me, R. C. (2014). ESL teachers’ questioning technique in an assessment for learning context: Promising or problematic? International Education Studies, 7(9), 161-174. https://doi.org/10.5539/ies.v7n9p161

Week 5

Formative assessment /AfL strategies in Mathematics:

Written and Verbal Feedback linking to effective Success Criteria.

Required Reading:

• Hodgen, J., Foster, C., Marks, R., & Brown, M. (2018). Evidence for Review of Mathematics Teaching: Improving Mathematics in Key Stages Two and Three: Evidence Review (Section 6.1). Education Endowment Foundation. https://educationendowmentfoundation.org.uk/evidence-summaries/evidence-reviews/improving-mathematics-in-key-stages-two-and-three/
• Hattie, J., & Clarke, S. (2018). Visible learning: feedback. Routledge. https://doi.org/10.4324/9780429485480. Chapter 2

Week 6

Formative assessment Strategies in Mathematics:

Peer and Self-Assessment

Ethical and appropriate use of AI in formative assessment

Required Reading:

• Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Assessing Mathematics Learning.  In Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020) Teaching secondary school mathematics: Research and practice for the 21st century. Sydney: Routledge.
• Hattie, J., & Clarke, S. (2018). Visible learning: feedback. Routledge. https://doi.org/10.4324/9780429485480. Chapter 4

Recommended Reading:

• Meakin, L. (2024). AI and assessment: Rethinking assessment strategies and supporting students in appropriate use of AI. Impact, 21. https://my.chartered.college/impact_article/ai-and-assessment-rethinking-assessment-strategies-and-supporting-students-in-appropriate-use-of-ai/

Week 7

Formative assessment Strategies in Mathematics:

Reliability and validity of formative assessments

Required Reading:

• McMillan, J. H. (2013). SAGE handbook of research on classroom assessment. Sage. https://doi.org/10.4135/9781452218649
• Chapter 6: Validity in Classroom Assessment: Purposes, Properties, and Principles
• Chapter 7: Reliability in Classroom Assessment

Assessment 1A due

Week 8 

Summative Assessment Strategies in Mathematics

Designing effective tools

Reliability and validity of summative assessments

Ethical and appropriate use of AI in summative assessments

Required Reading:

• McMillan, J. H. (2013). SAGE handbook of research on classroom assessment. Sage. https://doi.org/10.4135/9781452218649
• Chapter 10: Formative and Summative Aspects of Assessment: Theoretical and Research Foundations in the Context of Pedagogy

Week 9

Summative Assessment Strategies in Mathematics

International Assessments – PISA and TIMSS

National Educators Competency Framework (NECF)

Required Reading:

• Brown, P. C., Roediger, H. L., & Mcdaniel, M. A. (2014). Make It Stick: The Science of Successful Learning. Harvard University Press. Chapter 2: To learn, retrieve.
• OECD (2019), "PISA 2018 Mathematics Framework", in PISA 2018 Assessment and Analytical Framework, OECD Publishing, Paris, https://doi.org/10.1787/13c8a22c-en.
• Philpot, R., Lindquist, M., Mullis, I. V. S., & Aldrich, C. E. A. (2023). TIMSS 2023 Mathematics Framework. TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College, and International Association for the Evaluation of Educational Achievement (IEA).

Week 10

Assessment Informed Teaching and Learning

Integrating assessment evidence into teaching and learning improvements

Formative use of summative assessment outcomes 

Ethical and appropriate use of AI

Required Reading:

• Kippers, W. B., Wolterinck, C. H., Schildkamp, K., Poortman, C. L., & Visscher, A. J. (2018). Teachers' views on the use of assessment for learning and data-based decision making in classroom practice. Teaching and Teacher Education, 75, 199-213. https://doi.org/10.1016/j.tate.2018.06.015

Week 11

Reflection on the course content and activities

Student Presentations

Assessments 1B and 1C due