Pamela Weber Harris is changing the way we view and teach mathematics. Pam is the author of several books, including the Numeracy Problems Strings K-5 series, Building Powerful Numeracy, and the series Foundations for Strategies. As a mom, a former high school math teacher, a university lecturer, and an author, she believes everyone can do more math when it is based in reasoning rather than rote-memorizing or mimicking. Pam has created online Building Powerful Mathematics workshops and presents frequently at national and international conferences.  Her particular interests include teaching real math, building powerful numeracy, sequencing rich tasks to construct mathematics, using technology appropriately, and facilitating smart assessment and vertical connectivity in curricula in schools PK-12. Pam helps leaders and teachers to make the shift that supports students to learn real math because math is figureoutable!

• PrefaceAbout This BookLanguage Use in This BookAcknowledgmentsAbout the AuthorPart 1: Setting the StageChapter 1: Mathematics for TeachingWhat’s the Purpose of Learning Math?The Development of Mathematical ReasoningSpatial, Algebraic, and Statistical ReasoningMajor StrategiesConclusionDiscussion QuestionsPart II: Developing Additive ReasoningChapter 2: The Major Strategies for AdditionAdditive ReasoningDeveloping the Major Strategies for AdditionThe Split by Place Value StrategyThe Add a Friendly Number StrategyThe Get to a Friendly Number StrategyThe Add a Friendly Number Over StrategyThe Give and Take StrategyComparing the Major Addition StrategiesConclusionDiscussion QuestionsChapter 3: The Major Strategies for SubtractionDeveloping the Major Strategies for SubtractionThe Remove by Place Value StrategyThe Remove a Friendly Number StrategyThe Remove to a Friendly Number StrategyThe Remove a Friendly Number Over StrategyThe Find the Distance/Difference StrategyThe Constant Difference StrategyComparing the Major Subtraction StrategiesConclusionDiscussion QuestionsPart III: Developing Multiplicative ReasoningChapter 4: The Major Strategies for MultiplicationMultiplicative ReasoningImportant FoundationsDeveloping the Major Strategies for MultiplicationThe Smart Partial Products StrategyThe Smart Partial Products: Over StrategyThe Smart Partial Products: 5 Is Half of 10 StrategyThe Doubling/Halving StrategyThe Using Quarters and Scaling StrategyThe Flexible Factoring StrategyComparing the Major Multiplication StrategiesConclusionDiscussion QuestionsChapter 5: The Major Strategies for DivisionImportant FoundationsDeveloping the Major Strategies for DivisionThe Smart Partial Quotients StrategyThe Smart Partial Quotients: Over StrategyThe Smart Partial Quotients: 5 Is Half of 10 StrategyThe Equivalent Ratios StrategyComparing the Major Division StrategiesConclusionDiscussion QuestionsPart IV: Putting It All TogetherChapter 6: Tasks to Develop Mathematical ReasoningSequencing TasksProblem StringsOther Instructional RoutinesGamesHint CardsConclusionDiscussion QuestionsChapter 7: Modeling and ModelsStrategies Versus ModelsThe Many Meanings of ModelExploring Models by Their Best UsesOur Modeling FrameworkConclusionDiscussion QuestionsChapter 8: Moving ForwardMentor MathematiciansWhere to StartConclusionDiscussion QuestionsReferencesIndex

What happens when you shift math from being about rote memorizing and mimicking to focusing on strategies, thinking, and reasoning? Thereis no one better than Pam Harris to guide you in this important path—and this one is for you, grade 3–5 teachers!