georgia performance standards: a leader among integrated mathematics curricula aligned with nctm...

Georgia Performance Standards: A leader among integrated

mathematics curricula aligned with NCTM Standards

Presented by: Laine BradshawPh.D. student in the REMS program at UGA

(c) 2007 brainybetty.com ALL RIGHTS RESERVED.

2

•Why did Georgia need new standards?

•Who wrote the new standards? How were they developed?

•How do the new standards differ from the QCC’s?

•What is a task?

•How can I find out more about GPS?


3

• As a teacher, Superintendent Kathy Cox understands the efforts of the new curriculum.

•Amazing leadership from the Math Program Manager, Claire Pierce and Math Specialist, Janet Davis.

•Hardworking, optimistic, student and teacher focused.

Claire Pierce

http://images.google.com/imgres?imgurl=http://cobbcast.cobbk12.org/wp-content/uploads/2006/11/img_cpierce.jpg&imgrefurl=http://cobbcast.cobbk12.org/%3Fm%3D200611&h=75&w=75&sz=4&hl=en&start=4&sig2=JAfNH3YyJIt_9F1j5cgN6A&tbnid=_Gw6VMnWMjk81M:&tbnh=71&tbnw=71&ei=7YoLR-7QB57oiQH2hMnICQ&prev=/images%3Fq%3Dclaire%2Bpierce%26gbv%3D2%26svnum%3D10%26hl%3Den


4

85.78794

67.468

82

58.666

83

20

30

40

50

60

70

80

90

100

Grade 5 Grade 8 Grade 11

White Black Hispanic

Georgia’s Student Achievement in MathGeorgia’s Student Achievement in MathPercent Passing CRCT (5Percent Passing CRCT (5thth & 8 & 8thth) or E-GHSGT (11) or E-GHSGT (11thth))


5

Course WorkCourse WorkNATIONNATION

Avg. SAT Avg. SAT Math ScoreMath Score

GEORGIAGEORGIA

Avg.SAT Avg.SAT Math ScoreMath Score

AlgebraAlgebra 517517 495495

GeometryGeometry 519519 498498

TrigonometryTrigonometry 553553 520520

Pre-calculusPre-calculus 571571 557557

Other Mathematics Other Mathematics CoursesCourses 510510 487487

Computer MathematicsComputer Mathematics 539539 479479

CalculusCalculus 608608 584584

AP/Honors CoursesAP/Honors Courses 599599 585585

Georgia’s Student Achievement in Georgia’s Student Achievement in MathematicsMathematics


6

TOP 5 SCORESTOP 5 SCORES Finland: 544Finland: 544 South Korea: 542South Korea: 542 Netherlands: 538Netherlands: 538 Japan: 534Japan: 534 Canada: 533Canada: 533 INTERNATIONAL AVERAGE: 500INTERNATIONAL AVERAGE: 500

UNITED STATESUNITED STATES Average Score: 483Average Score: 483 2424thth out of 30 countries out of 30 countries Well below International AverageWell below International Average

International Student International Student Achievement in MathematicsAchievement in Mathematics

Program for International Student Assessment (Mathematics)Program for International Student Assessment (Mathematics)


7

State and national leaders in math education, teachers, higher education faculty.

UGA Panel and Committee Members:

Expert Advisory Panel: Dr. Kilpatrick

High School Advisory Committee: Dr. Franklin, Dr. Findell, Dr. Kilpatrick

K-12 Advisory Committee: Dr. Findell, Dr. Franklin, Dr. Kilpatrick, Dr. Mewborn


8

PROCESS:

Connections

Multiple Representations

Communication

Problem Solving

Reasoning and Proof

CONTENT:

Numbers and Operations

Measurement

Geometry

Data Analysis & Probability

Algebra


9

Include:

•Curriculum Maps – divided into units

•Concept Maps

•Unit information – Overview, Enduring Understandings, Essential Questions, Key Standards addressed, Related Standards, Concepts/Skills to maintain, Selected Terms and Symbols, Evidence of Learning, Strategies for teaching and learning, TASKS.

•Possible student solutions with commentary.

•Parent letters


10


11

Adopted characteristics from Japanese curriculum:

•Fewer topics at each grade level.Grades Old

(QCC)New

(GPS)

6th Grade 53 18

7th Grade 43 15

8th Grade 45 18

•More rigor and depth.•Integrated curriculum.•Clear, focused path to college mathematics


12

•Balance between concepts, skills, and problem solving emphasizing understanding and relevance.

•Four R’s: Rigor Relevance Relationships Reasoning

• A ladder, not a spiral.


13

Another Climbing the Ladder Example:Another Climbing the Ladder Example:

•7th – Define and operate with absolute value7th – Define and operate with absolute value

•88thth – Solve absolute value equations and inequalities – Solve absolute value equations and inequalities

•Mathematics 1 – Examine the absolute value functionMathematics 1 – Examine the absolute value function

•Mathematics 2 – Explore the absolute value as a Mathematics 2 – Explore the absolute value as a piecewise functionpiecewise function


14


15

MOREMORE experiential, inductive, hands-on learning experiential, inductive, hands-on learning

MORE MORE active learning with all the attendant noise of active learning with all the attendant noise of students doing, talking, and collaboratingstudents doing, talking, and collaborating

MOREMORE in-depth study of a smaller number of topics in-depth study of a smaller number of topics

MOREMORE responsibility transferred to students for their goal- responsibility transferred to students for their goal-setting, record-keeping, monitoring, evaluation, and setting, record-keeping, monitoring, evaluation, and academic work academic work


16

LESSLESS whole-class teacher-directed instruction whole-class teacher-directed instruction LESSLESS student passivity, sitting, listening, and student passivity, sitting, listening, and

receivingreceiving LESS LESS emphasis by teachers to cover large emphasis by teachers to cover large

amounts of material amounts of material LESSLESS rote memorization of facts and detailsrote memorization of facts and details LESSLESS focus on competition and gradesfocus on competition and grades


17

MathematicsAccelerated Mathematics

Mathematics 1 Mathematics 1 Accelerated Math 1Accelerated Math 1Mathematics 2Mathematics 2

Accelerated Math 2Accelerated Math 2Mathematics 3Mathematics 3

Mathematics 4Mathematics 4 Accelerated Math 3Accelerated Math 3Options for 4th math:

Discrete Mathematics

AP Statistics

Advanced Placement Calculus AB

Advanced Placement Calculus BC


18

Year Teacher Training

Classroom Implementation

2004 Grade 6

2005 Grades K-2, 7 Grade 6

2006 Grades 3-5, 8 Grades K-2, 7

2007 High School Grades 3-5, 8

2008 Grade 9

2009 Grade 10

2010 Grade 11

2011 Grade 12


19

1. www.georgiastandards.org• K-12 Mathematics Curriculum

• Instructional Frameworks (Concept maps, tasks, parent letters, student work, commentary, etc.)

• Training Materials

• Videos and Webcasts of Standards-based Classroom

• GPS Mathematics Toolkit

2. Books used in training.

3. UGA professors who have played an integral part of developing and implementing the curriculum.

Not everyone will be a research mathematician, but Not everyone will be a research mathematician, but everyone needs to be a resourceful mathematician.everyone needs to be a resourceful mathematician.

Jere ConfreyJere Confrey

georgia performance standards: a leader among integrated mathematics curricula aligned with nctm...

Documents

th slide

uga slide

college mathematics

mewborn slide

new standards

claire pierce slide

mathematics program

mathematics courses