
Primary and Middle Years Mathematics, 2nd edition
Published by Pearson (January 18, 2024) © 2024
- John A. Van de Walle Virginia Commonwealth University
- Karen S. Karp Johns Hopkins University
- Jennifer M. Bay-Williams University of Louisville
- Amy Brass
- Sharyn Livy
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Title overview
An Australian-adapted text that guides teachers to help all Foundation to Year 9 learners make sense of mathematics
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Primary and Middle Years Mathematics is designed to support Foundation to Year 9 teachers in implementing research-informed approaches for teaching mathematics. This comprehensive resource aims to enhance teachers' knowledge of effective teaching approaches, encompassing assessment for learning, understanding students' learning processes in mathematics, and addressing common misconceptions. Each chapter refers to the Australian Mathematics Curriculum and presents classroom-ready, hands-on problem-solving tasks specifically designed to challenge students' thinking and foster positive attitudes towards mathematics.
Samples
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Key features
- Big Ideas lists of key mathematical ideas at the beginning of each chapter help readers envision how to form their lesson plans around major themes rather than isolated skills or concepts.
- Samples of real student work show children's mathematical reasoning in context.
- Hundreds of problem-based activities model specific ways to engage students in doing mathematics. Each activity is aligned with the Australian Curriculum.
- Adaptations for students with additional learning needs and EAL/D students offer practical strategies to make activities accessible to all students.
- Blackline Masters, activity pages and teacher resource pages are provided to support the problems and activities in the book. These are highlighted in the text and can be downloaded.
- Formative assessment notes help educators evaluate students' understanding of content areas and offer the best methods to assist struggling students.
- Technology notes throughout the text reference open-source software, apps and digital resources to use in teaching.
- Writing to learn exercises ask readers to analyse and reflect on each chapter's big ideas.
- For discussion and exploration questions ask readers to explore an issue related to that chapter's content, and are designed to stimulate thought and cause spirited conversations.
- Literature connections list fun ways to use children's books to teach mathematics.
- Recommended readings provide an annotated list of articles and texts to augment the information found in the chapter.
New to this edition
- Updates for the new Australian Curriculum 9.0. The Mathematics Learning Area of AC 9.0 is significantly different to AC 8.4. It has a simplified structure, and descriptions for year levels, achievement standards, content descriptions and content elaborations have all changed - all with the aim of enriching student learning experiences. This edition explains the 'what' and the 'why' and shows how the content aligns to AC 9.0.
- Technology notes integrated throughout. Digital Literacy is one of the seven General Capabilities of the Australian Curriculum and should be integrated into the classroom rather than treated as a separate topic. This new edition infuses discussion of technology ideas and resources throughout the text, where relevant, to help student teachers achieve this goal.
- Alignment to Australian Institute for Teaching and School Leadership (AITSL) Standards. Student teachers and their teachers need to demonstrate that they are working towards and to the AITSL Standards. Learning Objectives are now tagged to the relevant Standards, making it easy for students to demonstrate that they are meeting this requirement.
- Diversity, equity & inclusion review. All chapters have been reviewed from a DE&I perspective, including Aboriginal and Torres Strait Islander perspectives, and impacts of COVID-19 and lockdowns on learners and educators.
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Table of contents
- SECTION 1: TEACHING MATHEMATICS: FOUNDATIONS AND PERSPECTIVES
- Teaching mathematics in the 21st century
- Exploring what it means to know and do mathematics
- Teaching problem-based mathematics
- Planning in the problem-based classroom
- Creating assessments for learning
- Teaching mathematics equitably to all students
- SECTION 2: DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES
- Developing early number concepts and number sense
- Developing meanings for the operations
- Developing basic fact fluency
- Developing whole-number place-value concepts
- Developing strategies for addition and subtraction computation
- Developing strategies for multiplication and division computation
- Algebraic thinking, equations and functions
- Developing fraction concepts
- Developing fraction operations
- Developing concepts of decimals and percentages
- Rations, proportions and proportional reasoning
- Developing measurement concepts
- Developing geometric thinking and geometric concepts
- Developing concepts of analysis
- Exploring concepts of probability
- Exploring components, integers and real numbers
- Appendix A: Australian Curriculum 9.0: Mathematics
- Appendix B: Mapping the content to the Australian Curriculum
- Appendix C: Mapping the content to the AITSL Standards
- Appendix D: NCTM mathematics teaching practices: From Principles to Actions
- Appendix E: Guide to the supplementary resources
Author bios
The late Dr John A. Van de Walle was a professor emeritus at Virginia Commonwealth University. He was a leader in mathematics education who regularly gave professional development workshops for K-8 teachers in the United States and Canada focused on mathematics instruction that engaged students in mathematical reasoning and problem solving. He visited and taught in many classrooms and worked with teachers to implement student-centred mathematics lessons. He co-authored the Scott Foresman-Addison Wesley Mathematics K-6 series and contributed to the original Pearson School mathematics program enVisionMATH. Additionally, John was very active in the National Council of Teachers of Mathematics (NCTM), writing book chapters and journal articles, serving on the board of directors, chairing the educational materials committee and speaking at national and regional meetings.
Dr. Karen S. Karp is a professor at John Hopkins University (Maryland). Previously, she was a professor of mathematics education at the University of Louisville for more than twenty years. Prior to entering the field of teacher education, she was an elementary school teacher in New York. She is the coauthor of Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K-6; the three book series, The Math Pact: Achieving Instructional Cohesion within and across Grades; and the What Works Clearinghouse Practice Guide on Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades. She is a former member of the board of directors for the National Council of Teachers of Mathematics (NCTM) and a former president of the Association of Mathematics Teacher Educators. In 2020, she received the NCTM Lifetime Achievement Award and in 2021 became a member of the United States National Committee on Mathematics Instruction. She continues to work in classrooms to support teachers in ways to instruct students with special needs in math.
Dr. Jennifer Bay-Williams is a professor at the University of Louisville. She is a leader in mathematics education, regularly working to support mathematics instruction. Beyond her work on this book and the related Teaching Student Centered Mathematics book series, Jennifer has written other books that focus on effective mathematics teaching. Most recently she has written a book series called Figuring out Fluency in Mathematics K-12 and Math Fact Fluency: 60+ Games and Assessment Tools to Help Learning and Retention. For teacher leaders, she has authored Everything You Need for Mathematics Coaching, and in the area of financial literacy, she authored a three-book series titled On the Money (a financial literacy book series). Over the years, Jennifer has taught elementary, middle, and high school in the United States and in Peru. She continues work with teachers around the world and in her local school districts to support their work. Jennifer has been actively involved in NCTM, NCSM, AMTE, and TODOS: Mathematics for All. Currently, she is serving as an associate editor for Mathematics Teacher: Learning and Teaching in preK-12.
Amy Brass is currently a doctoral candidate in mathematics education at Pennsylvania State University. She was previously a mathematics education lecturer at the University of Melbourne Graduate School of Education and also taught mathematics content and mathematics pedagogy classes at Arizona State University and the University of Cincinnati. Prior to entering the field of teacher education, Amy was a lower secondary maths teacher. Amy's research interests include people's understanding of large numbers and their magnitude, the relationships across mathematics, mathematics education and citizenship and mathematical modelling.
Dr Sharyn Livy is a Senior Lecturer of mathematics education in the School of Curriculum, Teaching and Inclusive Education, Faculty of Education, Monash University. Sharyn enjoys supporting both primary school teachers and pre-service teachers to enhance their skills and knowledge of best practices in mathematics education for primary school children. Her motivation is to enhance the quality of mathematics education for young students and equip teachers with the necessary skills and knowledge to achieve this goal. Her work involves conducting research, developing, and delivering professional development programs for teachers, and collaborating with schools and education partners to promote student-centred instructional approaches and collaborative mathematical learning experiences.
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