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In-Service Postgraduate Diploma in Education: EDUM2:Evidence-based Approaches to Teaching and Learning in Mathematics Education

Course Description

This course focuses on the theories and principles of learning design in mathematics and their application in the mathematics classroom. Students will develop a comprehensive understanding of relevant theories and practice in the mathematics teaching profession and then critically reflect on selected pedagogical practices and the overarching nature of mathematics education in the UAE context. This evaluative process will allow them to successfully apply relevant principles and theories from current research, such as inquiry-based learning and other student-centred strategies, to develop engaging and challenging mathematics learning experiences. Students will also learn the skills needed to continue to develop as mathematics teachers by learning how to critically self-evaluate their own professional practice against professional standards, and will develop highly specialised knowledge and skills within the mathematics teaching profession in order to become lifelong learners and leaders of learning in their field

Books

Course Resources

 

Week 1

 

Introduction to Course: Learning to be a mathematics teacher

Required Reading

- Schoenfeld, A. H. (2020). Mathematical practices, in theory and practice. ZDM, 52, 1163-1175. https://doi.org/10.1007/s11858-020-01162-w

 

Week 2

Effective Teaching Practices for Secondary Mathematics: What does the research say?

Required Reading:

- Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Doing, teaching and learning mathematics.  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., Fisher, D., Frey, N., Gojak, L. M., Moore, S. D., & Mellman, W. (2016). Visible learning for mathematics, grades K-12: What works best to optimize student learning. Corwin Press. (Chapter 1)

 

 

Week 3

Inquiry-based Learning

Practical Examples in the Mathematics Classroom

A Critical Overview of Research Evidence

Required Reading:

- Artigue, M., & Blomhøj, M. (2013). Conceptualizing inquiry-based education in mathematics. ZDM, 45(6), 797-810. https://doi.org/10.1007/s11858-013-0506-6

 

 

 

Week 4

Week 4

Realistic Mathematics Education

Linking the Use of Metacognitive Strategies with IBL in the Mathematics Classroom

Required Reading:

- Laurens, T., Batlolona, F. A., Batlolona, J. R., & Leasa, M. (2017). How does realistic mathematics education (RME) improve students’ mathematics cognitive achievement?. Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 569-578. https://doi.org/10.12973/ejmste/76959

 

 

Week 5

 

Active Learning Approaches in Mathematics: Bridging the gap between Theory and Practice

Required Reading:

Litster, K., MacDonald, B., & Shumway, J. F. (2020). Experiencing active mathematics learning: Meeting  the expectations for  teaching and learning in mathematics classrooms. The Mathematics Enthusiast, 17(2), 615-   640. https://doi.org/10.54870/1551-3440.1499

 

 

 

Week 6

 

Effective Teaching Strategies in Mathematics

Hands on mathematics activities with real-life applications

Required Reading:

- Hattie, J., Fisher, D., Frey, N., Gojak, L. M., Moore, S. D., & Mellman, W. (2016). Visible learning for mathematics, grades K-12: What works best to optimize student learning. Corwin Press. (Chapter 7)

- Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Developing Mathematical Understanding.  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.

 

 

Week 7

Planning and Preparation for Effective Pedagogy

Lesson planning (I)

Required Reading:

- Akyuz, D., Dixon, J. K., & Stephan, M. (2013). Improving the quality of mathematics teaching with effective planning practices. Teacher Development, 17(1), 92-106. https://doi.org/10.1080/13664530.2012.753939

 

 

Week 8

Planning and Preparation for Effective Pedagogy

Lesson Planning (II)

Required Reading:

- Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Developing Mathematical Connections.  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.

 

 

 

Week 9

 

Strategies for teaching “Hard to teach” (H2T) topics (I)

Using examples for the Mathematics Classroom

Required Reading:

- Hattie, J., Fisher, D., Frey, N., Gojak, L. M., Moore, S. D., & Mellman, W. (2016). Visible learning for mathematics, grades K-12: What works best to optimize student learning. Corwin Press. (Chapter 5)

 

 

Week 10

 

Professional learning and meeting teaching standards as a mathematics teacher through critical reflection.

Required Reading:

Teacher standards: [link to most updated version will be added]

UAE inspection framework: [link to most updated version will be added]