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Teaching Mathematics Conceptually
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Teaching Mathematics Conceptually
Guiding Instructional Principles for 5-10 year olds



March 2023 | 184 pages | Corwin UK
This book expands upon the guiding principles at the heart of Math Recovery® instruction, exploring their connections with learning theory, practical application in the classroom and their wider links to agreed concepts of high-quality mathematics teaching.

It provides a well-rounded overview of all major aspects of mathematics teaching including inquiry-based and constructivist approaches, planning and assessment, and strategies that offer children opportunities for reflection, satisfaction and increasing challenge.

Particular focus is placed on equitable and inclusive practices in mathematics and how we can develop teaching that connects with the abilities, cultures, and lived experiences of all children.

This is essential reading for all teachers familiar with the Math Recovery® approach and classroom mathematics teachers in elementary and primary schools everywhere seeking to enhance their own professional knowledge and understanding.

Beth L. MacDonald is an associate professor in Early Childhood Mathematics Education in the School of Teaching and Learning at Illinois State University.
Jonathan N. Thomas is an associate professor of mathematics education and the chairperson of the Department of STEM Education at the University of Kentucky.
 
Chapter 1: Introduction
 
Chapter 2: Inquiry-Based Instruction
 
Chapter 3: Mathematics Learning Progressions And Multiple Student-Created Strategies
 
Chapter 4: Relationships Between Mathematics Teaching And Learning
 
Chapter 5: Planning Effective Mathematics Teaching
 
Chapter 6: Formative Assessments
 
Chapter 7: Monitoring Mathematics Learning
 
Chapter 8: Feedback And Discourse In Mathematics Instruction
 
Chapter 9: Grouping Students To Promote A Productive Struggle In Mathematics Instruction
 
Chapter 10: The Role Of Children’s Reflection In Mathematics Learning
 
Chapter 11: Equitable Mathematics Practices
 
Chapter 12: Connecting Back To NCTM Mathematics Teaching Practices And Common Core State Standards Of Mathematics Practices

Beth L. MacDonald

Beth L. MacDonald is an associate professor in Early Childhood Mathematics Education in the School of Teaching and Learning at Illinois State University. After completing a Bachelor of Arts degree in Studio Art and Elementary Education (PreK-6) at SUNY Potsdam, Beth taught elementary school for 15 years and served as a K-5 Instructional Specialist for two years in southwest Virginia. In this time, Beth taught in fully inclusive elementary classrooms within Title 1 schools and within all K-5 grade levels. While teaching, Beth completed her Master of Arts in Education degree, with a focus on K-8 Mathematics Education and her Doctor of... More About Author

Jonathan N. Thomas

Jonathan N. Thomas is an associate professor of mathematics education and the chairperson of the department of STEM education at the University of Kentucky. After completing a Bachelor of Arts degree in Elementary Education at the University of Kentucky, Jonathan was a mathematics intervention specialist in public, private, and charter schools in the Cincinnati metropolitan area. While teaching, Jonathan completed a Masters of Arts in Education degree with a focus on education leadership and his Doctor of Education degree in mathematics education, both from the University of Cincinnati. Jonathan’s research focused on responsive and... More About Author

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