Developing Mathematical Reasoning

Are you teaching operations, fractions or functions? If so, Harris has some gorgeous ideas for you—showing us the ways they are all ‘figure-out-able’
with mathematical reasoning.

Developing Mathematical Reasoning is every teacher’s guide to breaking away from algorithmic-centered teaching. From the three distortions of
mathematics to the hierarchies of mathematical reasoning, Harris helps us understand how math and math teaching have become entangled in
a tension between algorithms and reasoning, and then shows us how to untangle this tension through a series of real classroom examples. In so
doing, Harris shows us that math is, actually, ‘figure-out-able.’

Harris explores the limitations of an algorithm-centered classroom and emphasizes the need for true mathematical reasoning. By presenting a
hierarchy of reasoning domains and advocating for a strategy-centered approach, this book equips educators with vital tools to empower students and deepen their understanding of mathematics.

Chock full of real stories about real people engaging with real math, Developing Mathematical Reasoning lives up to its title. Harris beautifully
empowers educators with practical insights and steps to help students become true mathematical thinkers, not just mimickers—essential for a world that needs confident reasoners.

This book is a gem that should be read by every teacher of mathematics. Harris offers a K–12 continuum of narratives from classrooms and builds a
strong argument for why algorithms should not be the focus of instruction if we truly want to produce numerate, mathematically empowered thinkers.

This book is a gift for all teachers, especially those of us raised in the era of algorithms and rote memorization. Harris walks you through how to
help students reason their way to understand math conceptually. With each step in the progression, you learn how to help students graduate to more sophisticated ways of thinking and math-ing.

From the very first page, this book grabbed me and refused to let go. Harris’s insights into the challenges of learning mathematics, as well as
her joyful explanations of what can be possible when we have the right attitude and mindset, are essential for today’s educators to absorb and
integrate into their classrooms.

Harris critiques traditional math instruction by highlighting three key distortions about what math truly is. She encourages educators to move
beyond algorithm repetition and instead promote real mathematical reasoning and problem solving, raising expectations and fostering deeper
understanding for all students. A transformative read for anyone looking to elevate math instruction.

Harris takes you on an adventure that fast-tracks you along her journey of discovering how students learn best. A must-read for anyone wanting
to open students’ horizons and get them to use what they already know to tackle new problems.

This is a timely and, ultimately, brave book about mathematics. Harris shines a light on ineffective practices and reminds us that math is so
much more than memorized procedures. Her insights may ruffle some feathers about long held beliefs on math instruction. But the invitation to
reach more deeply into real mathematics will open many eyes.

This book is a must-have! I grew up in the trap of the algorithm. I made it through school with good math grades because I was a good rule follower. It wasn’t until I was getting my master’s degree that I learned I didn’t know mathematics, I was just good at arithmetic.

Harris is not only a dear friend but also an incredible advocate for teaching math in a way that truly empowers students. In this book, she beautifully
abstracts the essence of math, guiding teachers on how to help students deeply understand concepts rather than just memorize procedures. Harris
has always been a brilliant resource for educators, helping them uncover the ‘why’ behind the math, and this book is a testament to her passion
and expertise.

Developing Mathematical Reasoning makes the bold assertion that math instruction should teach students to think mathematically. In this day and
age when quick answers are coming quicker than ever, Pamela Weber Harris encourages us to slow down. Using concrete examples and vignettes, Harris demonstrates how traditional teaching methods tend to short-change development by pushing procedural thinking. This book teaches how to navigate around those traps and build classrooms rich with reasoning.