Focus on the learner

• Samples of real student work illustrate student thinking and responses to problem-based assignments. Pre-service teachers see direct examples of the ideas suggested, providing a window into children’s mathematical reasoning.
• NEW: Common challenges and misconceptions are outlined in easy-to-read tables that pre-service teachers can reference in their classroom planning and teaching. Each research-based table includes a student challenge, a sample of student work or a statement illustrating the challenge, and brief ideas of what an educator might do to help.
• Formative Assessment Notes help educators evaluate students’ understanding of different content areas and offer strategies on the best way to assist struggling students (Section II).
• Adaptations for Students with Special Needs and English Learners present practical strategies to make tasks and activities accessible for all students (Ch. 6 and in labeled Activities).

Help readers visualize good mathematics instruction

• Robust, problem-based Activities engage students in the use of significant mathematical concepts and skills (Section II).
• NEW: Routines—including innovative lesson designs and short discussion initiators—help students develop number sense, flexibility, and the mathematical practices. (Ch. 4: 3-Act Tasks; Number Talks; and Worked Examples).
• UPDATED: Mathematical modeling discussions now reflect the Guidelines for Assessment & Instruction in Mathematical Modeling Education (GAIMME) Report (COMAP & SIAM, 2016), as well as findings from recent books and articles (Ch. 13).
• Big Ideas lists help future teachers envision the best way to form their lesson plans around major themes rather than focusing on isolated skills or concepts (Section II).
• UPDATED: Technology Notes, discussions, tools, and ideas are infused throughout the book to better reflect the pervasiveness of technology in teaching today.

Offer additional resources for effective teaching

• Common Core State Standards (CCSSO, 2010), NCTM Teaching standards (App. A, B), and research-based strategies are included to give pre-service teachers a thorough reference for all of the math content suggested for grades PreK-8.
  • UPDATED: Nearly 300 new references in the 10th Edition reflect the most current research, standards, and exemplars.
  • Standards for Mathematical Practice Margin Notes connect the eight Standards of Mathematical Practice from the Common Core State Standards with in-text examples.
• Literature Connections help educators link the mathematics concepts in the chapter with an example of great children’s literature—motivating them to teach math in a new and interesting context (Section II).
• Recommended Readings include annotated lists of NCTM articles and books, and other professional resources the reader can use in the classroom.

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  • Embedded Videos use real classroom footage to illustrate or expand on key chapter concepts, helping students

Guide teachers to help all PreK-8 learners make sense ofmathematics

· Common challenges and misconceptions are outlined in easy-to-read tables thatpre-service teachers can reference in their classroom planning and teaching.Each research-based table includes a student challenge, a sample of studentwork or a statement illustrating the challenge, and brief ideas of what aneducator might do to help.

· Routines—includinginnovative lesson designs and short discussion initiators—help students developnumber sense, flexibility, and the mathematical practices. (Ch. 4: 3-Act Tasks;Number Talks; and Worked Examples).

· Mathematical modeling discussions now reflect the Guidelines for Assessment &Instruction in Mathematical Modeling Education (GAIMME) Report (COMAP &SIAM, 2016), as well as findings from recent books and articles (Ch. 13).

· Technology Notes, discussions, tools, and ideas are infused throughout the book tobetter reflect the pervasiveness of technology in teaching today.

· Nearly 300 new references in the 10th Edition reflect the most current research,standards, and exemplars.

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