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|Material Type:||Internet resource|
|Document Type:||Book, Internet Resource|
|All Authors / Contributors:||
|ISBN:||9781118095706 1118095707 9781118223628 1118223624 9781118237021 1118237021 111826195X 9781118261958|
Machine generated contents note: About the AuthorAbout This BookIntroductionJulian's StoryRationale and PurposeWho Benefits from This Book?Chapter 1: The Problem with Math Is English (And a FewOther Things)Why Language and Symbolism?What We Are TeachingTurning the Tide: A Sampling of ApproachesMathematics Is About Relationships Connecting the Pieces and Looking Ahead Chapter 2: Why a Language Focus in Mathematics?The Convergence of Mathematics and English: More Than Just VocabularyProblems Based on the English LanguageA Number of Problems with NumberChapter 3: Language and Symbolism in Traditional InstructionShortcomings of Traditional InstructionMore Language and Symbolism Issues: Adding Fuel to the FireTell Me Again Why the Language Focus in Math?Chapter 4: So What Does Conceptual Understanding Look Like?It Starts with DefinitionsMaking Connections in Math: Beyond Connecting DotsThe Interpretation and Translation of MathConclusionChapter 5: The Order of Operations: A Convention or a Symptomof What Ails Us?The Roots of the RulesThe Natural Order: A Mathematical PerspectiveConclusion: A Conceptual Understanding of the Order of OperationsChapter 6: Using Multiplication as a Critical Knowledge BaseUnderstanding Key Definitions and Connections & Interpreting MultiplicationUsing the Power of the Distributive PropertyFeeling Neglected: The Units in MultiplicationConclusion: Small Details, Huge ImpactChapter 7: Fractions: The "F Word" in MathematicsDefining Fractions: Like Herding CatsThe Fraction KingdomInterpreting FractionsConclusionChapter 8: Operations with FractionsAdding and Subtracting FractionsMultiplying FractionsDividing FractionsSummaryChapter 9: Unlocking the Power of Symbolism and VisualRepresentationSymbolismVisual RepresentationThe Power of Interpretation: Three Perspectives of TrapezoidsSummaryChapter 10: Language-Focused Conceptual InstructionLanguage Focus: Beyond the DefinitionsThe Secrets to Solving Word ProblemsSuggested Instructional StrategiesSummaryChapter 11: Mathematics: It's All About Relationships!Language and Symbolism: Vehicles for Relationship RecognitionRelationships and FractionsProportional ReasoningRelationships: Important ConsiderationsRelationships: Making Powerful ConnectionsSummaryChapter 12: The Perfect Non-Storm: Understanding the Problem and Changing the SystemA Systemic IssueMath MakeoverSummaryBibliography.
|Description:||xxii, 275 pages : illustrations ; 24 cm.|
|Contents:||The problem with math is English (and a few other things) --
Why a language focus in mathematics? --
Language and symbolism in traditional instruction --
So what does conceptual understanding look like? --
The order of operations: a convention or a symptom of what ails us? --
Using multiplication as a critical knowledge base --
Fractions: the "F word" in mathematics --
Operations with fractions --
Unlocking the power of symbolism and visual representation --
Language-focused conceptual instruction --
Mathematics: it's all about relationships! --
The perfect non-storm: understanding the problem and changing the system.
|Series Title:||Jossey-Bass teacher.|