NCLB Kriegler Presentation

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Published on September 13, 2007

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NO TEACHER LEFT BEHIND:  NO TEACHER LEFT BEHIND NCLB-compliant Math Programs That Support Teacher Learning and Student Achievement Shelley Kriegler Director, UCLA Math Programs for Teachers Ted Gamelin Professor, UCLA Department of Mathematics Heather Calahan NBC Teacher, Santa Monica High School Lecturer, UCLA Department of Mathematics PRESENTATION AGENDA:  PRESENTATION AGENDA Research and Recommendations for Content Preparation of Teachers Summary of Programs at UCLA A Sample Lesson An NCLB Dilemma MATH CONTENT PREPARATION:  MATH CONTENT PREPARATION RESEARCH Teacher Preparation Research. Center for Study of Teaching and Policy, 2001 Mathematics Proficiency for All Students. Rand Mathematics Study Panel, 2003 Research Companion to Principles and Standards for School Mathematics. NCTM, 2003 MATH CONTENT PREPARATION:  MATH CONTENT PREPARATION MORE ABOUT THE CTP REPORT Seven studies show some correlation between math degree and student results Three studies show some correlation between about 5 math courses and student results – BUT little effect for additional coursework Five studies show math ed or education coursework contributes to student gains MATH CONTENT PREPARATION:  MATH CONTENT PREPARATION RECOMMENDATIONS Mathematical Education of Teachers Report (MET), Conference Board of Mathematical Sciences, 2001 NCTM Principles and Standards, 2000 MATH CONTENT PREPARATION:  MATH CONTENT PREPARATION MORE ABOUT THE MET REPORT Elementary grades: 9 semester hours on fundamental ideas of elementary school mathematics Middle grades: 12 semester hours of fundamental middle school math + 9 semester hours of advanced work (including pre-calculus or college algebra) High School: major equivalent + capstone course A CLOSER LOOK AT CALCULUS:  A CLOSER LOOK AT CALCULUS MET Report Could have 1 semester focusing on calculus concepts and applications CA Supplementary Authorization (through Grade 9) Underpinnings of Calculus CA Foundational Math Credential (through Algebra 2) None Traditional Mathematics Major (all high school) Core major typically includes 2 years of calculus UCLA MATHEMATICS COURSES AND PROGRAMS:  UCLA MATHEMATICS COURSES AND PROGRAMS PRESERVICE Undergrads (Elementary) Diversified Liberal Arts Program (Landamp;S) Math 38ABC (Math) Undergrads (Secondary) Math Education Intern Program (Math) Math 330 (Math) Math 105, 370 (Math) Graduate Students GK12 Fellows Program (Math) Diversity in Math Education (Education) UCLA MATH ED WEB PAGE:  UCLA MATH ED WEB PAGE Go to: www.math.ucla.edu/mathed UCLA MATHEMATICS COURSES AND PROGRAMS :  UCLA MATHEMATICS COURSES AND PROGRAMS INSERVICE MCPT (Math Department) 12 courses 'equivalent to major for middle school mathematics' Math credit through University Extension LUCIMATH (Math Dept/Center X) Customized programs (40+ hours) Education credit through University Extension UCLAMP (Center X) Professional Development by contract Math Leadership programs PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON READY (GOALS)   We investigate some patterns in 'triangles' made famous by two mathematicians: Sierpinski and Pascal. We use patterns within the triangles to explore properties of 'even' and 'odd' numbers, and to generate some mathematical rules. We use the fourfold way (pictures, numbers, symbols and words) to describe our findings.   PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON SET (STANDARDS) Calculate with whole numbers, fractions, and decimals Use algebraic terminology expressions, equations and graphs Evaluate and apply expressions with exponents Find perimeter and area of shapes Know and apply the Pythagorean theorem PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON GO (WARMUP)   Continue this pattern. Write each term using exponents. Write a rule for the pattern. Graph the pattern. PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON PART 1: PASCAL’S TRIANGLE Complete Pascal’s Triangle (OH2, R1) Discuss properties of 'even' and 'odd' Shade even numbers (OH3, R2) Examine patterns 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON EVEN NUMBERS IN PASCAL’S TRIANGLE PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON PART 2: SIERPINSKI TRIANGLE Subdivide triangle (OH5, R3) Record remaining areas (OH6, R4) Examine patterns PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON SIERPINSKI TRIANGLE AREA PASCAL AND SIERPINSKIKIDLUCI LESSON:  PASCAL AND SIERPINSKI KIDLUCI LESSON SIERPINSKI TRIANGLE AREA THE FOURFOLD WAY:  THE FOURFOLD WAY Solve the Problem Visually (Pictures) Solve the Problem Numerically (Numbers) Solve the Problem Algebraically (Symbols) Solve the Problem Verbally (Words) TECHNOLOGY CONNECTION:  TECHNOLOGY CONNECTION Go to www.math.ucla.edu/mcpt TECHNOLOGY CONNECTION:  TECHNOLOGY CONNECTION Click on 'Resources' TECHNOLOGY CONNECTION:  TECHNOLOGY CONNECTION Under 'Mathematical Moments with Mamikon', click on Pascal Triangle TECHNOLOGY CONNECTION:  TECHNOLOGY CONNECTION This takes you to Mamikon’s webpage. Click on Pascal triangle in upper right portion of page to begin interactive applet. NCLB REGULATIONS:  NCLB REGULATIONS WHAT ARE REQUIREMENTS FOR A 'HIGHLY QUALIFIED TEACHER'? Bachelors degree Full state certification and licensure Demonstrate competency as defined by the state, in each core academic subject taught NCLB REGULATIONS:  NCLB REGULATIONS HOW TO DEMONSTRATE SUBJECT MATTER COMPETENCE CALIFORNIA:  CALIFORNIA COURSEWORK OPTIONS ACROSS THE NATION:  ACROSS THE NATION SUBJECT MATTER COMPETENCE ACROSS THE NATION :  ACROSS THE NATION HIGHLY QUALIFIED TEACHERS DEFINITION IS THE MIDDLE SCHOOL MATH TEACHER AN ENDANGERED SPECIES? :  IS THE MIDDLE SCHOOL MATH TEACHER AN ENDANGERED SPECIES? Middle school 'endorsements' are being replaced by more traditional high school credentialing requirements but Traditional HS math coursework requirements mismatch MS curricular needs and Testing (is this better?) is replacing coursework anyway IS THE MIDDLE SCHOOL MATH TEACHER AN ENDANGERED SPECIES?:  IS THE MIDDLE SCHOOL MATH TEACHER AN ENDANGERED SPECIES? So… To comply at the middle school level, some districts are classifying mathematics courses as 'elementary' for purposes of assignment. NCLB SILVER LINING:  NCLB SILVER LINING Teachers are learning more mathematics Students are learning more mathematics LUCIMATH QUADRILATERALS PROBLEM:  LUCIMATH QUADRILATERALS PROBLEM Name five different quadrilaterals. Describe the properties (characteristics) of their sides and angles in an organized way. Include a drawing for each one. LUCIMATH QUADRILATERALS PROBLEM:  LUCIMATH QUADRILATERALS PROBLEM Name five different quadrilaterals. Describe the properties (characteristics) of their sides and angles in an organized way. Include a drawing for each one. K-2 LUCIMATH PUZZLE PROBLEM:  K-2 LUCIMATH PUZZLE PROBLEM Maureen had 26 puzzles. Kate gave her 16 more. How many puzzles does Maureen have now? Solve this problem as a first grader might solve it using three different strategies. Label each strategy A, B, C. Rank them from easiest to hardest and briefly explain why. K-2 LUCIMATH PUZZLE PROBLEM:  K-2 LUCIMATH PUZZLE PROBLEM Maureen had 26 puzzles. Kate gave her 16 more. How many puzzles does Maureen have now? Solve this problem as a first grader might solve it using three different strategies. Label each strategy A, B, C. Rank them from easiest to hardest and briefly explain why. STUDENT ACHIEVEMENT:  STUDENT ACHIEVEMENT Math intervention begins STUDENT ACHIEVEMENT:  STUDENT ACHIEVEMENT In 2003, grades 2-5 scores increased 11 percentage points on the statewide tests.     'These are not just strong increases, they are remarkable!' Roy Romer, LAUSD Superintendent THE END:  THE END Thank you for attending our session www.lucimath.org

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