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

Books

Visible Learning for Mathematics, Grades K-12 by Douglas Fisher; Nancy Frey; Linda M. Gojak; Sara Delano Moore; William Mellman; John Hattie
Call Number: QA16 .H38 2017

ISBN: 9781506362946

Publication Date: 2016-09-30

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it's not about which one--it's about when--and show you how to design high-impact instruction so all students demonstrate more than a year's worth of mathematics learning for a year spent in school. That's a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie's synthesis of more than 15 years of education research involving 300 million students...
Teaching Secondary School Mathematics by Merrilyn Goos; Gloria Stillman; Colleen Vale; Katie Makar (As told to); Sandra Herbert; Vince Geiger
Call Number: QA11.2 .G66 2017

ISBN: 9781743315934

Publication Date: 2017-03-15

The second edition of a highly successful text introducing the fundamentals of teaching secondary school mathematics, fully revised to reflect the Australian Curriculum.
Stepping up Lesson Study : An Educator's Guide to Deeper Learning by Aki Murata and Christine Kim-Eng Lee
ISBN: 9780367433383

Publication Date: 2020-

This is a much-needed book for educators who want to learn more than just the surface features of lesson study, to deepen the process and learning. Bringing together current knowledge and resources from lesson study practitioners and researchers all over the world, this book provides models and examples of how teachers can learn more deeply and how to support them to learn more in lesson study. The chapters connect current research/educational theories to classroom practices and are filled with examples to illustrate how deeper learning looks with lesson study; for example, highlighting the research process, paying attention to educative talk, using of case pupils (students) as the teachers' focus, doing kyouzai kenkyuu well, facilitating mock-up lessons and so forth. This is not a basic "how-to" handbook of lesson study, and readers can choose chapters with topics of interest to learn and use the new ideas promptly in their work. Coming from the global network of lesson study educators, the book not only provides new learning guides but also provides stories of how lesson study has been adopted in different cultures and educational contexts.

Course Resources

Week 1

Introduction to Course: Learning to be a Mathematics Teacher in Diverse Learning Environments Course Overview Mathematical Practices

Required Readings:

Sanchez, W. B., Lischka, A. E., Edenfield, K. W., & Gammill, R. (2015). An emergent framework: Views of mathematical processes. School Science and Mathematics, 115(2), 88-99. https://doi.org/10.1111/ssm.12103
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 Mathematics: What does the research say?

Principles for High Quality Mathematics Teaching

The Role of Pedagogical Content Knowledge (PCK) in Becoming an Effective Mathematics Teacher

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.
Prediger, S., Götze, D., Holzäpfel, L., Rösken-Winter, B., & Selter, C. (2022). Five principles for high-quality mathematics teaching: Combining normative, epistemological, empirical, and pragmatic perspectives for specifying the content of professional development. Frontiers in Education, 7, 969212. 10.3389/feduc.2022.969212
National Educators’ Competency Framework

Week 3

Active Learning Approaches in Mathematics through ECAE Signature Pedagogy Problem-Based Learning (PBL)

Bridging the Gap between Theory and Practice

Using Pedagogical Content Knowledge (PCK) to Support PBL

Required Readings:

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.
Merritt, J., Lee, M. Y., Rillero, P., & Kinach, B. M. (2017). Problem-based learning in K–8 mathematics and science education: A literature review. Interdisciplinary Journal of Problem-Based Learning, 11(2). https://doi.org/10.7771/1541-5015.1674

Week 4

Realistic Mathematics Education (RME)

Using Realistic Sustainability Examples from Emirati Culture Using Pedagogical Content Knowledge (PCK) to Support RME

Required Readings

Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic mathematics education. Encyclopedia of Mathematics Education, 713-717. https://doi.org/10.1007/978-3-030-15789-0_170

Realistic Mathematics Education

Week 5

ECAE Signature Pedagogy: Inquiry-based Learning (IBL)

A Critical Overview of Research Evidence

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

Using Realistic Sustainability Examples from Emirati Culture

Required Readings:

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
Rhodes, S., Reigle, K., Della Valle, R., & Gonzales, J. (2025). Building Students’ Metacognitive Toolboxes. Mathematics Teacher: Learning and Teaching PK-12, 118(3), 176-185 .https://doi.org/10.5951/MTLT.2024.0232

Week 6

Planning and Preparation for Effective Inclusive Pedagogy

Lesson Planning for Diverse Learners

Formative Assessment in Lesson Planning

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
Jackson, C., Buchheister, K. W., & Taylor, C. E. (2023). A planning framework foregrounding equity in mathematics teaching and learning. Investigations in Mathematics Learning, 15(2), 103-117. https://doi.org/10.1080/19477503.2022.2150462

Week 7

Effective Teaching Strategies in Mathematics Using Technology

Using GeoGebra and AI to Support Students’ Learning

Required Reading:

Lo, J. J., & White, N. (2020). Selecting GeoGebra applets for learning goals. Mathematics Teacher: Learning and Teaching PK-12, 113(2), 156-159. https://doi.org/10.5951/MTLT.2019.0142
Wardat, Y., Tashtoush, M. A., AlAli, R., & Jarrah, A. M. (2023). ChatGPT: A revolutionary tool for teaching and learning mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 19(7), em2286. https://doi.org/10.29333/ejmste/13272

Recommended Reading

Flavin, E., Lee, J. H., Chamberlin, M. T., & Powers, R. A. (2024). GPS: Artificial intelligence image processing. Mathematics Teacher: Learning and Teaching PK-12, 117(11), 848-852. https://doi.org/10.5951/MTLT.2024.0103

Week 8

Orchestrating Discourse in Diverse Mathematics Classrooms

Promoting Student Dialogue

Using Effective Feedback

Required Readings

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)
Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313-340. https://doi.org/10.1080/10986060802229675

Week 9

Strategies for Addressing Mathematical Misconceptions and Errors

Using Examples for the Mathematics Classroom

Using Educational Games to Support Robust Understandings

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)
Wills, T., Suh, J., Roscioli, K., Guzman, A., Everdale, J., & Lee, S. (2023). Build It! The rectangle game. Mathematics Teacher: Learning and Teaching PK-12, 116(10), 758-763. https://doi.org/10.5951/MTLT.2023.0071

Week 10

Professional Growth and Learning, Meeting Teaching Standards as a Mathematics Teacher through Critical Reflection, Building Communities of Practices

Required Readings:

Murata, A. (2020). Lesson study as research: relating lesson goals, activities and data collection. In Stepping up Lesson Study (pp. 4- 13). Routledge.

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

Course Description

Books

Course Resources