LibGuides: Pre-Service Early Years/Primary Postgraduate Diploma in Education: EDUSM3-Pedagogy, Learning, and Assessment in Mathematics II

Books

Teaching Secondary and Middle School Mathematics by Daniel J. Brahier
ISBN: 9780367146474
Publication Date: 2020-03-27
Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices. ● A new feature, "Links and Resources," has been added to each of the 13 chapters. ..more
Teaching Secondary School Mathematics by Merrilyn Goos; Gloria Stillman; Colleen Vale; Katie Makar (As told to); Sandra Herbert; Vince Geiger
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.
Powerful Teaching by Pooja K. Agarwal; Patrice M. Bain
ISBN: 9781119521846
Publication Date: 2019-06-05
Unleash powerful teaching and the science of learning in your classroom Powerful Teaching: Unleash the Science of Learning empowers educators to harness rigorous research on how students learn and unleash it in their classrooms. In this book, cognitive scientist Pooja K. Agarwal, Ph.D., and veteran K-12 teacher Patrice M. Bain, Ed.S., decipher cognitive science research and illustrate ways to successfully apply the science of learning in classrooms settings. This practical resource is filled with evidence-based strategies that are easily implemented in less than a minute--without additional prepping, grading, or funding! Research demonstrates that these powerful strategies raise student achievement by a letter grade or more; boost learning for diverse students, grade levels, and subject areas; and enhance students' higher order learning and transfer of knowledge beyond the classroom. Drawing on a fifteen-year scientist-teacher collaboration, more than 100 years of research on learning, and rich experiences from educators in K-12 and higher education, the authors present highly accessible step-by-step guidance on how to transform teaching with four essential strategies: Retrieval practice, spacing, interleaving, and feedback-driven metacognition. With Powerful Teaching, you will: Develop a deep understanding of powerful teaching strategies based on the science of learning Gain insight from real-world examples of how evidence-based strategies are being implemented in a variety of academic settings Think critically about your current teaching practices from a research-based perspective Develop tools to share the science of learning with students and parents, ensuring success inside and outside the classroom Powerful Teaching: Unleash the Science of Learning is an indispensable resource for educators who want to take their instruction to the next level. Equipped with scientific knowledge and evidence-based tools, turn your teaching into powerful teaching and unleash student learning in your classroom.
Learning to Teach Mathematics in the Secondary School by Sue Johnston-Wilder (Editor); Clare. Lee (Editor); David Pimm (Editor)
ISBN: 9781317372363
Publication Date: 2016-09-13
Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as: why we teach mathematics　　　　　　　 the place of mathematics in the National Curriculum 　　　　 planning, teaching and assessing for mathematics learning　　　　　　　　　　 how to communicate mathematically　　　　 using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond. Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.
Mathematics Lesson Study Around the World by Marisa Quaresma (Editor); Carl Winsløw (Editor); Stéphane Clivaz (Editor); João Pedro da Ponte (Editor); Aoibhinn Ní Shúilleabháin (Editor); Akihiko Takahashi (Editor)
ISBN: 9783319756950
Publication Date: 2018-04-09
This book introduces the specifics of mathematics lesson study with regard to regional/national particularities, discussing the methodological and theoretical tools that can be used to pursue research on lesson study (its forms, contents, effects etc.) from an international perspective. Lesson study and learning study (LS) are becoming increasingly important in teacher education, mostly in continuous professional development, but also in prospective teachers' education, and this interest is accompanied by a demand for more solid theorization of the lesson study process. A number of social, cultural, cognitive and affective issues are reflected in the way LS develops, and the book examines the latest results of these developments.
Lesson Study Research and Practice in Mathematics Education by Lynn C. Hart (Editor); Alice Alston (Editor); Aki Murata (Editor)
ISBN: 9789048199402
Publication Date: 2011-01-15
Lesson study is a professional development process that teachers engage in to systematically examine their practice, with the goal of becoming more effective. Originating in Japan, lesson study has gained significant momentum in the mathematics education community in recent years.As a process for professional development, lesson study became highly visible when it was proposed as a means of supporting the common practice of promoting better teaching by disseminating documents like standards, benchmarks and nationally validated curricula.While the body of knowledge about lesson study is growing, it remains somewhat elusive and composed of discrete research endeavors. As a new research area there is no coherent knowledge base yet. This book will contribute to the field bringing the work of researchers and practitioners together to create a resource for extant work.This book describes several aspects of Lesson Study, amongst others: it gives an historical overview of the concept, it addresses issues related to learning and teaching mathematics, it looks at the role of the teacher in the process. The last two sections of the book look at how lesson Study can be used with preservice mathematics teachers and at university mathematics methods teaching.

Course Resources

Week 1

Required Reading

Brahier, D. J. (2020). Teaching secondary and middle school mathematics. Routledge. (Chapter 3 , pp. 59-74).

Recommended Reading

Fitriani, H. N., Turmudi, T., & Prabawanto, S. (2018, December). Analysis of students error in mathematical problem solving based on Newman’s error analysis. In International Conference on Mathematics and Science Education of Universitas Pendidikan Indonesia (Vol. 3, pp. 791-796).

Week 2

Required Reading

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

Recommended Reading

Ruthven, K., Mercer, N., Taber, K. S., Guardia, P., Hofmann, R., Ilie, S., ... & Riga, F. (2017). A research-informed dialogic-teaching approach to early secondary school mathematics and science: The pedagogical design and field trial of the epiSTEMe intervention. Research Papers in Education, 32(1), 18-40. https://doi.org/10.1080/02671522.2015.1129642

Week 3

Required Reading:

Baten, E., Praet, M., & Desoete, A. (2017). The relevance and efficacy of metacognition for instructional design in the domain of mathematics. ZDM, 49(4), 613-623. https://doi.org/10.1007/s11858-017-0851-y
Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Teaching and learning geometry and spatial concepts. In Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (Eds.), Teaching secondary school mathematics: Research and practice for the 21st century. Routledge.

Recommended Reading:

Agarwal, P. K., & Bain, P. M. (2019). Engage Students with feedback-driven metacognition. Powerful teaching: Unleash the science of learning. John Wiley & Sons.

Week 4

Required Reading

Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Teaching and learning algebra. In Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (Eds.), Teaching secondary school mathematics: Research and practice for the 21st century (pp. 199-217). Routledge.

Recommended Reading

Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77(1), 20-26

Week 5

Required Reading

Brahier, D. J. (2020). Teaching secondary and middle school mathematics. Routledge. (Chapter 3, pp. 75-89).

Recommended Reading

Lee, C. (2017). Assessing mathematics learning. In S. Johnston-Wilder, C. Lee, & D. Pimm (Eds.), Learning to teach mathematics in the secondary school: A companion to school experience. Routledge.

Chapter 7: Assessing Mathematics Learning/ Learning to Teach Mathematics In Secondary School

Week 6

Required Reading

Fujii, T. (2018). Lesson study and teaching mathematics through problem solving: The two wheels of a cart. In G. Kaiser (Ed.), Mathematics lesson study around the world (pp. 1-21). Springer.
Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Teaching and learning algebra. In Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (Eds.), Teaching secondary school mathematics: Research and practice for the 21st century (pp. 217-225). Routledge.

Recommended Reading

Jones, K., & Edwards, J. (2017). Planning for mathematics learning. In S. Johnston-Wilder, C. Lee, & D. Pimm (Eds.), Learning to teach mathematics in the secondary school: A companion to school experience. Routledge.

Week 7

Required Reading

Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Teaching and learning chance and data. In Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (Eds.), Teaching secondary school mathematics: Research and practice for the 21st century. Routledge.
Bliss, K. M., Fowler, K. R., & Galluzo, B. J. (2014). Math modeling: Getting started & getting solutions. SIAM.

Recommended 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 8

Required Reading

Dudley, P., & Camden, L. B. (2014). Lesson study workbook. https://lessonstudy.co.uk/new-lesson-study-workbook-free-to-download/

Recommended Reading

Fernandez, M. L., & Zilliox, J. (2011). Investigating approaches to lesson study in prospective mathematics teacher education. In Lesson study research and practice in mathematics education (pp. 85-102). Springer.

Week 9

Required Reading

Aberdein, A. (2019). Evidence, proofs, and derivations. ZDM, 51(5), 825-834. https://doi.org/10.1007/s11858-019-01049-5

Recommended Reading

Conner, A., Singletary, L. M., Smith, R. C., Wagner, P. A., & Francisco, R. T. (2014). Teacher support for collective argumentation: A framework for examining how teachers support students’ engagement in mathematical activities. Educational Studies in Mathematics, 86(3), 401-429. https://doi.org/10.1007/s10649-014-9532-8

Week 10

Required Reading

Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (2020). Equity and social justice in mathematics teaching and learning. In Goos, M., Vale, C., Stillman, G., Makar, K., Herbert, S., & Geiger, V. (Eds.), Teaching secondary school mathematics: Research and practice for the 21st century. Sydney: Routledge.

Recommended Reading

The Derek Bok Center for Teaching and Learning. (2017). Classroom dynamics and diversity. https://bokcenter.harvard.edu/inclusive-teaching

Chapter 14 : Equity and social justice in mathematics teaching and learning

Pre-Service Early Years/Primary Postgraduate Diploma in Education: EDUSM3-Pedagogy, Learning, and Assessment in Mathematics II

Course Description

Books

Course Resources