Students become mathematical adventurers in these challenging and engaging activities designed to deepen and extend their understanding of concepts from the Common Core State Standards in Mathematics. The investigations in this book stretch students' mathematical imaginations to their limits as they solve puzzles, create stories, and explore fraction-related concepts that take them from the mathematics of ancient Greece to the outer reaches of infinity. Each activity comes with detailed support for classroom implementation including learning goals, discussion guides, detailed solutions, and suggestions for extending the investigation. There is also a free supplemental e-book offering strategies for motivation, assessment, parent communication, and suggestions for using the materials in different learning environments.
Table of Contents
A Note to Students Introduction Connections to the Common Core State Standards Exploration 1: Sharing and Grouping Exploration 2: Fraction Puzzlers Exploration 3: Working Together Exploration 4: Fractions Forever! Exploration 5: Visualizing Fraction Multiplication Exploration 6: Undo It! Exploration 7: Sum-Product Pairs Exploration 8: Unit Fraction Hunt Exploration 9: Continued Fractions References About the Author Common Core State Standards Alignment
Jerry Burkhart has been teaching and learning math with gifted students in Minnesota for nearly 20 years. He has degrees in physics, mathematics, and math education. He provides professional development for teachers and is a regular presenter at conferences around topics of meeting the needs of gifted students in mathematics...
Advanced Common Core Math Explorations: Fractions offers a sequenced collection of nine ready-to-use explorations, targeted to gifted and talented students in grades 5-8, but accessible to any student who would like to pursue the challenge.
Each exploration begins with an introduction that lists materials, prior knowledge, learning goals, and advice on the launch. The Student Handout presents the three increasingly challenging stages of the exploration. A Teacher's Guide offers questions and conversations, anticipated misconceptions, solution strategies, and suggested feedback. An e-booklet, which is available at the publisher's website, includes more detailed suggestions and tools for implementation, including effective teaching practices, parent communication, mathematical communication, and assessment issues.
I recommend this book because of its challenging student explorations and for the wealth of teacher content and pedagogical professional development.,Lisa Englard, K-8 Math Specialist, 3/28/16
Our advanced learners may feel like fractions are easy or boring, but not anymore! With these explorations, they can go as far as any mathematician to understanding the complexity of fractions of wholes . . . Burkhart's book will help us challenge ourselves, teachers and learners, by engaging all of us with interesting questions that lead us to deep understanding. I highly recommend this book and look forward to trying out the explorations with my students.,Karen Bloom, math teacher,MiddleWeb, 11/5/15
Exceptionally ‘student friendly' in organization and presentation, “Advanced Common Core Math Explorations: Fractions” is very highly recommended for school math class curriculums and would be appropriate as a home schooling based fractions workbook as well.,Midwest Book Review, 7/1/15