Teaching to the Math Common Core State Standards

Focus on Kindergarten to Grade 5

  • F. D. Rivera

Table of contents

  1. Front Matter
    Pages i-x
  2. F. D. Rivera
    Pages 31-39
  3. F. D. Rivera
    Pages 41-46
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    Pages 47-66
  5. F. D. Rivera
    Pages 89-109
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    Pages 111-117
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    Pages 119-127
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    Pages 129-143
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    Pages 145-150
  10. F. D. Rivera
    Pages 151-173

About this book


This is a methods book for elementary majors and preservice/beginning elementary teachers. It takes a very practical approach to learning to teach elementary school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the kindergarten through grade 5 portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The CCSSM content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all elementary students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended, multisourced text is a “getting smart” book. It helps elementary majors and preservice/beginning elementary teachers work within the realities of accountable pedagogy and develop a proactive disposition that is capable of supporting all elementary students in order for them to experience growth in mathematical understanding necessary for middle school and beyond, including future careers.


Common Core State Standards in mathematics elementary teaching mathematics methods mathematics education school reform

Authors and affiliations

  • F. D. Rivera
    • 1
  1. 1.Department of Mathematics and StatisticsSan Jose State UniversityCaliforniaUSA

Bibliographic information