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