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An Update: National Council of Teachers of Mathematics United States Department of Education MSP An Update: National Council of Teachers of Mathematics United States Department of Education MSP Regional Conference April 28, 2009 Henry (Hank) Kepner, Jr. President, National Council of Teachers of Mathematics Professor of Education and Mathematics University of Wisconsin-Milwaukee

First Things First • A strong K– 12 mathematics education for all students is First Things First • A strong K– 12 mathematics education for all students is important for our nation’s economic stability, future national security, and workforce productivity. • Everyone must be mathematically literate and recognize the importance of mathematics learning. NCTM believes that teachers and what they do in the classroom are at the heart of making this vision a reality. 2

Competitiveness 3 Competitiveness 3

From Secretary Duncan • “Providing every child in America with a good education is From Secretary Duncan • “Providing every child in America with a good education is both a moral imperative and an economic imperative. It’s also a matter of social justice. It is the civil rights issue of our generation—the one and only way to overcome the differences of wealth, background, and race that divide us and deny us our future. • “I came to Washington with one goal—to give every single child in America the very best education possible. ” — Secretary of Education Arne Duncan 4

Mathematics for all students • NCTM supports programs and practices that encourage the acquisition Mathematics for all students • NCTM supports programs and practices that encourage the acquisition of high-level mathematics skills by a wide range of overlapping populations: – – – – children of poverty, English language learners, urban and rural students, students of all races and ethnicities, students with learning difficulties, students who are female, and students who are mathematically gifted. 5

And yet… • Important, but NOT for me – Parents are aware of the And yet… • Important, but NOT for me – Parents are aware of the importance of math, but remain complacent – Students pay lip service to the importance of higher level math… 6

NCTM Strategic Priorities • • • Curriculum Equity Research Professional Development Advocacy 7 NCTM Strategic Priorities • • • Curriculum Equity Research Professional Development Advocacy 7

Curriculum and Assessment • Increase efforts to focus and align the Pre. K-8 curriculum Curriculum and Assessment • Increase efforts to focus and align the Pre. K-8 curriculum to achieve coherence. an NMAP recommendation • NCTM supports developing stronger intervention programs and assessments, with an emphasis on the ongoing use of formative assessments. an NMAP recommendation 8

Curriculum Curriculum

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The Intent To address: • Long lists of mathematics learning expectations at the state The Intent To address: • Long lists of mathematics learning expectations at the state level with little consistency across states • Emphasis on breadth resulting in lack of depth, i. e. “mile wide, inch deep” curricula in mathematics 11

Number of 4 th-Grade Learning Expectations per State by Content Strand Number & Operation Number of 4 th-Grade Learning Expectations per State by Content Strand Number & Operation Geometry Measurement Algebra Data Analysis, Probability & Statistics Total Number of Learning Expectations California 16 11 4 7 5 43 Texas 15 7 3 4 3 32 New York 27 8 10 5 6 56 Florida 31 11 17 10 20 89 Ohio 15 8 6 6 13 48 Michigan 37 5 11 0 3 56 New Jersey 21 10 8 6 11 56 North Carolina 14 3 2 3 4 26 Georgia 23 10 5 3 4 45 Virginia 17 8 11 2 3 41 Reys, et al. , 2006 12

The Rationale • Identify key mathematical ideas across pre. K-8 that prepare students for The Rationale • Identify key mathematical ideas across pre. K-8 that prepare students for future mathematics, particularly algebra • Identify the mathematics that should be the focus of instruction and student learning at each grade level, pre. K-8 13

NCTM Curriculum Principle A curriculum is more than a collection of activities. It must NCTM Curriculum Principle A curriculum is more than a collection of activities. It must be: • coherent • focused on important mathematics • well articulated across the grades Principles and Standards for School Mathematics, p. 14 14

NCTM Curriculum Principle “…a well-articulated curriculum gives teachers guidance regarding important ideas or major NCTM Curriculum Principle “…a well-articulated curriculum gives teachers guidance regarding important ideas or major themes, which receive special attention at different points in time. It also gives guidance about the depth of study warranted at particular times and when closure is expected for particular skills or concepts. ” Principles and Standards for School Mathematics, p. 16 15

What’s a Focal Point? • A major mathematical topic of emphasis for a grade What’s a Focal Point? • A major mathematical topic of emphasis for a grade level; • More than a single objective, standard, expectation, or indicator; • An important link in the chain of building mathematical understanding, pre. K-8; • Not an element of a list of discrete topics to check off as mastered by students. 16

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34 x 25 170 68. 850 34 x 25 600 = 20 x 30 34 x 25 170 68. 850 34 x 25 600 = 20 x 30 80 = 20 x 4 150 = 5 x 30 20 = 5 x 4 850 19

(3 x+4)(2 x+5) = (3 x+4)(2 x) + (3 x+4)(5) = (3 x)(2 x)+ (3 x+4)(2 x+5) = (3 x+4)(2 x) + (3 x+4)(5) = (3 x)(2 x)+ 4(2 x)+(3 x)5+(4)5 5 2 x 3 x 4 20

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What do we know now? Use status: • • • Over half of the What do we know now? Use status: • • • Over half of the states Most publishers Teacher education programs, textbooks Over 1, 200, 000 downloads later Curriculum Center Survey results Most popular NCTM publication – sales 22

And… • • Focus on Grades PK-2 Focus on Grades 3 -5 Focus on And… • • Focus on Grades PK-2 Focus on Grades 3 -5 Focus on Grades 6 -8 This month: – Focus on Grade: • 3 • 4 • 5 • And more to follow 23

Concerns and Challenges • Confusion – Understanding what is meant by a focal point Concerns and Challenges • Confusion – Understanding what is meant by a focal point – target, area of emphasis? • What does it mean to focus? • Will states and school districts omit curricular topics? • When will the state tests change? • What about high school? 24

NMAP and Curriculum • Increase efforts to streamline, focus and align the Pre. K-8 NMAP and Curriculum • Increase efforts to streamline, focus and align the Pre. K-8 curriculum to achieve coherence. • Validation 25

NMAP Conceptual Knowledge & Skills • Curriculum focus and coherence Pre. K-8 • Closure NMAP Conceptual Knowledge & Skills • Curriculum focus and coherence Pre. K-8 • Closure with topics • Major Topics of School Algebra – Should be the focus of school algebra – however algebra is “presented. ” • Proficiency with the Critical Foundations – Whole numbers, fractions, particular aspects of geometry and measurement. – Benchmarks • Access to algebra • Teacher background 26

Estimate: 12 13 + 7 8 13 yr olds 17 yr olds 1 7 Estimate: 12 13 + 7 8 13 yr olds 17 yr olds 1 7 8 2 24 37 19 28 21 21 27 15 I Don’t know 14 16 NAEP (NCTM) 27

Algebra: What, When, and for Whom • Algebra is more than a set of Algebra: What, When, and for Whom • Algebra is more than a set of procedures for manipulating symbols. Algebraic concepts and skills should be a focus across the PK-12 curriculum. All students should have opportunities to develop algebraic reasoning. Algebra when ready. Position of NCTM (Sept. 2008)

Early Algebra 1 st Grade Story: Yolanda has 5 candies. Juan gives her some Early Algebra 1 st Grade Story: Yolanda has 5 candies. Juan gives her some more. Now she has 12. How many did Juan give her? • Children should learn: 5 + what = 12 • In Algebra 1 textbook: 5 + x = 12 29

Curriculum Focus in High School Mathematics Reasoning and Sense Making And Topic Books: Algebra Curriculum Focus in High School Mathematics Reasoning and Sense Making And Topic Books: Algebra Geometry Data Analysis & Probability Fall 2009 30

NCTM’s Goal • Guidance for schools and states in the design of curricula and NCTM’s Goal • Guidance for schools and states in the design of curricula and assessment that target the most important topics. • Focus for teachers that gives sufficient time for students to understand concepts and develop and apply skills necessary for future mathematics. • Clear direction for students and parents on the importance of deep understanding of particular topics at each grade level. 31

Equity • • Equity Position Statement Equity Summits 2008 and 2009 Iris Carl Annual Equity • • Equity Position Statement Equity Summits 2008 and 2009 Iris Carl Annual Equity Address Equity and Publications – Online issue of JRME – TCM focus issue • Equity FOY for 2008 -09 • Equity theme of 2009 Annual Conference and Exposition • And more!!! 32

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Linking Research and Practice • Director of Research: Dr. Judith Quander • Research Analyses, Linking Research and Practice • Director of Research: Dr. Judith Quander • Research Analyses, Briefs and Clips at nctm. org/research. aspx 34

NCTM Research Clips and Briefs Homework Briefs provide the research in more detail… NCTM Research Clips and Briefs Homework Briefs provide the research in more detail…

NCTM Research Clips and Briefs Formative Assessment NCTM Research Clips and Briefs Formative Assessment

Linking Research and Practice • NSF-supported Research Agenda Conference – Summer 2008; Report & Linking Research and Practice • NSF-supported Research Agenda Conference – Summer 2008; Report & Follow-Up 2009 – Mathematicians, Mathematics Educators, Supervisors, Teachers, Cognitive Psychologists, Policy Makers 37

Professional Development • E-learning programs reached 6 continents, 50 states, and 20 different countries Professional Development • E-learning programs reached 6 continents, 50 states, and 20 different countries • 18 e-workshops, with over 700 sites connected • 4 NCATE online report compiler training sessions • Lesson Study course for teachers of grades 3 -8, with participants from 12 states • 7 Learn-and-Reflect sessions at NCTM Conferences and Affiliate Conferences • To Come: Professional Development Continuum 38

Professional Development On the Web • • Large-Scale Assessment tool Intervention President’s Messages Position Professional Development On the Web • • Large-Scale Assessment tool Intervention President’s Messages Position Statements (2008) – – – Mentoring Early childhood Equity Technology Algebra 39

Advocacy and Outreach • Senate and House STEM Caucus • National Math Advisory Panel Advocacy and Outreach • Senate and House STEM Caucus • National Math Advisory Panel • Testimony before Congress – re: focus and coherent curriculum; NMAP Report • Discussion with Obama transition team • Math Now legislation • Board meetings with – Deputy Secretary Ray Simon (2008) – Patricia O’Connell Johnson (2009) • U. S. Department of Education – Doing What Works • Much more… 40

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Emerging Issues • • • What algebra? When? Early childhood mathematics education Intervention Elementary Emerging Issues • • • What algebra? When? Early childhood mathematics education Intervention Elementary Mathematics Specialists Special Needs: ELL and Special Education • Urban-specific Needs • High School and College articulation 42

What are Intervention Programs? • Structured plans for providing instructional activities and materials to What are Intervention Programs? • Structured plans for providing instructional activities and materials to support students’ learning • Additional instruction on content that has already been introduced in the classroom • Intended to boost—not supplant or copy— regular classroom instruction 43

Intervention: Instructional Actions • Can occur in a variety of settings: -Whole-class -One-on-one -With Intervention: Instructional Actions • Can occur in a variety of settings: -Whole-class -One-on-one -With a tutor -During school -Before/after school -In summer school • Leads to follow-up assessment – Have the actions been successful? 44

What is Remediation? Actions taken to reverse established patterns of achievement by students who What is Remediation? Actions taken to reverse established patterns of achievement by students who are already struggling or failing and who need intensive, long-term help. • Supplemental instruction on content students are expected to have mastered but have not 45

What is Intervention? Plan of action implemented by an instructor on behalf of students What is Intervention? Plan of action implemented by an instructor on behalf of students who may need extra help or acceleration • Students’ difficulties or strengths are in early stages • Intervention ideally addresses weaknesses or strengths before they become a problem for the student 46

nctm. org/intervention. aspx 47 nctm. org/intervention. aspx 47

NMAP & Learning Processes • Preschool background; • Need for the curriculum to develop NMAP & Learning Processes • Preschool background; • Need for the curriculum to develop conceptual understanding, computational fluency, and problem solving; • Importance of computational proficiency – facts, standard algorithms, and properties; • Fractions; • Role of student effort; • Diverse learners; • Readiness. 48

We Need Elementary School Mathematics Specialists NOW! NCTM News Bulletin We Need Elementary School Mathematics Specialists NOW! NCTM News Bulletin

Questions? Questions?

Mathematics and Science Partnership (MSP) Programs U. S. Department of Education: San Francisco Regional Mathematics and Science Partnership (MSP) Programs U. S. Department of Education: San Francisco Regional Meeting