Culturally Responsive Strategies for Math Instruction. South Dakota Indian Education Summit September 24, 2012. Cultural Responsiveness of Common Core. How do S tandards for M athematical P ractice relate to Native American pedagogy?. Standards for Mathematical Practice. - PowerPoint PPT Presentation
Culturally Responsive Strategies for Math InstructionSouth Dakota Indian Education SummitSeptember 24, 2012
Cultural Responsiveness of Common CoreHow do Standards for Mathematical Practice relate to Native American pedagogy?
Standards for Mathematical PracticeMake sense of problems and persevere in solving themReason abstractly and quantitatively Construct viable arguments and critique reasoningModel with mathematicsUse appropriate tools strategicallyAttend to precisionLook for and make use of structureLook for and express regularity in repeated reasoningwww.corestandards.orgOjibwe PedagogyStandards of Math PracticeCommonality of Common Core
Food for Thought
The depressing thing about arithmetic badly taught is that it destroys a childs intellect, and to some extent, his integrity. Before they are taught arithmetic, children will not give their assent to utter nonsense; afterwards, they will.
(Sawyer in Burns 1994, 119)The procedural fluency of children will be effected by the increased use of technology, because it will require an aging group of teachers to familiarize themselves with the latest gadgets and pop culture trends. 6Divergent Thinking StudyCite hereTraditional ParadigmModern ParadigmNCTM, 2000Add it Up, 2001
American Educator If students fail to gain conceptual understanding, it will become harder and harder to catch up, as new conceptual knowledge depends on the old. Students will become more and more likely to simply memorize algorithms and apply them without understanding.(Willinghelm, 2010)
The procedural fluency of children will be effected by the increased use of technology, because it will require an aging group of teachers to familiarize themselves with the latest gadgets and pop culture trends. 10
Variables Impacting Student SuccessQuality of the Curriculum
Quality of the InstructionQuality of the School EnvironmentQuality of the Students Home Environment
Schools control 3 out of 4 critical variables that determine student success in mathematics.Fennel, 2002
Five StrategiesContextualize conceptsInstigate reasoningPromote represesentationInitiate discourseGeneralize rulesContextualizing conceptsCreate hooksUse humorTell storiesEngage interestMake mysteriesRelate to kids
Instigating reasoningAsk great questionsAsk LOTS of questionsWait for answersGive helpful infoCreate safetydcbeaighfdigdcbeaighffacePromoting representation
Use problems that can be drawnCreate partial models (informal procedure)Introduce possible solutionsHave manipulatives availablePositively reinforce alternative solutions
Share in pairs and small/whole groupsDevelop routines for discussionHave students share solutionsCenter student analysis on student workCause debateFinding Perimeter of a Rectangular Shape
Flip the paradigmForce students to conjectureTest ideas and hypothesesExtend problemsUse algorithms to summarize thinkingFrom 27% to 95%
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