the mathematics curriculum k12.ppt
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1、The Mathematics Curriculum K12,A STANDARDS-BASED Search for CoherenceJohn A.DosseyIllinois State UniversityJeremy KilpatrickUniversity of Georgia,Curriculum,Not just a syllabus or textbookIncludesAimsContentMethodsAssessment proceduresDepends on ones positionPlanExperienceA linear path through a mul
2、ti-dimensional domain,What is a curriculum?,A plan of action directing the content and delivery of a program of mathematics learning for a specified group of studentsThis plan consists of an articulated set of statements that provide:general goals for the plana structure of content domains and cogni
3、tive processes to be developeda philosophy concerning the general conditions of learning expecteda listing of general standards and specific outcomes of learning related to levels of schooling germane to the population for which the curriculum is intended,The Importance of Mission,“A discussion of m
4、athematical education,and of ways and means of enhancing its value,must be approached first of all on the basis of a precise and comprehensive formulation of the valid aims and purposes of such education.Only on such basis can we approach intelligently the problems relating to the selection and orga
5、nization of material,the methods of teaching and the point of view which should govern instruction.”(The Reorganization of Mathematics in Secondary Education,1923),Source of Goals,Society/Workforce,Discipline,Psychology,Mathematics Education,Assessments,Most Curricula do not answer Who?,What?,Where?
6、,Why?,Situating a curriculum NCTM and PISA discuss:Personal Life,Workplace,Cultural and Societal,and Scientific and Technological.College Board Standards for College Success:Mathematics and Statistics:“College Board presents these standards as a guide to provide all students with the rigorous educat
7、ion that will prepare them for success in college,opportunity in the workplace,and effective participation in civic life.”,Recommendation 1,What is the purpose of the curriculum?Who is it to serve?What are the intended outcomes in:Broad brush strokes(overview)Unit level content and processes(teacher
8、s and materials)Specific concepts,principles,and skills(specialist and resource guide level),Previous Periods of Curricular Reform,Early 1900sCommissions.Late 1950slate 60s“New math”Late 1980s90sStandardsEarly 2000s Based on assessments,Today&Recent Past,NCLB and state“curriculum”reformsCollege Boar
9、ds Standards for College Success:Mathematics and Statistics(2009)NCTM Curriculum Focal Points(Pre-K8)(2006)&Focus in High School Mathematics:Reasoning and Sense Making(912)(2009)NGA&CCSSO release draft of College-and Career-Readiness Standards(2009),the first stage of the Common Core State Standards
10、 Initiative-a move toward a curriculumhttp:/www.corestandards.org/,Structuring a curriculum,How are the“levels”laid out?How is the“content”divided?How are the“processes”described and interwoven?How is knowledge itself related to intended learning(and to envisioned pedagogy)?Problems:ConnectionLinear
11、ityDifferentiationChoice,Providing Structure,Content Domains,CognitiveProcesses,Content Domains,Number&operationsAlgebra&functionsGeometry&transformationsMeasurementData analysisChanceBe careful to:Avoid straying too far from a concise list because that rapidly leads to a lack of focusMake sure ther
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