CEISMC = Center for Education Integrating Science, Mathematics

CEISMC = Center for Education Integrating Science, Mathematics

CEISMC = Center for Education Integrating Science, Mathematics and Computer Science (and Engineering) Building on STEM OUTREACH TO K-12, especially in Mathematics October 4, 2011 This work is partially funded through the Georgia Race to the Top Award from the U.S. Department of Education Who We Are Unit in the Georgia Tech, College of Sciences Created in 19913 staff

Last Year 26 staff June 201140 staff Payroll Much FY12 of $2.5 Million collaboration within and without GT Mission

To ensure that K-12 students in Georgia receive the best possible preparation and opportunities in science, technology, engineering and mathematics (STEM) as they seek their place in the modern world. Rationale (Scary Stuff) Rising K-12 Above the Gathering Storm student rankings vs. international peers

National Assessment of Educational Progress STEM literacy of general population STEM teacher shortage Major Emphases of CEISMC #1 - Depth and breadth of STEM

teacher content knowledge and understanding for the Common Core Standards #2 - Student Engagement and Interest in STEM Fields Teacher Certification Partnerships NSF Robert Noyce Scholarship Grants Kennesaw State University Chemistry and Physics

Mathematics Georgia State University (GSU) Broad-field Science Joint GT-GSU BS/MAT Program SLIDER $3.5 million, five year grant from NSFs Discovery Research K-12 Program (SLIDER) Design 8th Grade Physical Science Curriculum Robotics & Engineering Design

LEGO Mindstorm Project-based Learning (Learning by Design) SLIDER Study effectiveness in different settings. Content Knowledge Student Engagement Higher order thinking skills Differences between demographic groups Creativity Longitudinal effect Implement in 3 real schools

Mentoring Programs All Kids Count (AKC): Mathematics tutoring of K-8 students Pathways Program: Weekly 1-on-1 sessions by GT students with high school juniors and seniors. Georgia Race to the Top (RT3)

Georgia Race to the Top Program US Department of Education--$400 million to Georgia $7.5 million sub-award to GT (through CEISMC) over 4 years Online Professional Development for Teachers High School Math 4 Course (Based on Operations Research, MINDSET Project) Algebra Data Analysis & Probability Engineering-based middle school course (8th Grade Integrated STEM) Online Courses for Students Math 4 Course (Based on Operations Research, MINDSET Project)

Others (Coming Soon!) Support for Use of Educational Technology Teacher Professional Development Research Experiences for Teachers Georgia Intern Fellowships for Teachers (GIFT) Traditional face-to-face programs GA Department of Education Math/Science

Partnership and Teacher Quality Grants Online professional development NASA Electronic Professional Development Network (and also currently part of RT3) Georgia Intern Fellowships for Teachers (GIFT) Created in 1991 Goal:

To increase teacher content knowledge and to gain practical examples for application in the classroom. Paid 4-7 week summer internships for STEM Teacher at Georgia teachers in university research labs and industrial Tech MSE lab . labs. High School students can be included. Offers Over real world immersion into STEM.

1,500 teachers total, with 90 in 2011. Georgia Intern Fellowships for Teachers (GIFT) Teachers, Schools, and Students Summer 2011 90 Middle and High School Teachers 34 School Districts represented 27 High School Students conducted

research along side teachers at laboratories at Georgia Tech. 13 Georgia Intern Fellowships for Teachers (GIFT) Corporate and Academic Lab Placements 2011 2011 Corporate Fellowship Partners: Arch Chemicals, Arizona Chemical Company, Bold Formulators, LLC, CAMotion, Inc., CBJ Industries, ConAgra Foods, DuPont Crop Protection Industries, Georgia Power, Integrated Science Systems, NASA/ORBIT Education, Inc., PCC Airfoils LLC, Tift Regional Medical Center, and United Parcel Service (UPS) 2011 University Fellowship Partners: Emory University, Georgia Tech, University of Georgias Tifton, Griffin and Athens campuses, and Valdosta State University

2011 Foundation/Agency Fellowship Sponsors: Cisco Foundation, National Science Foundation, Siemens Foundation, The UPS Foundation, Teacher Quality Higher Education Program (State of Georgia), Tellus Science Museum, USDA/ARS, and the United Math-Science Partnerships Goals Improve the content knowledge of teachers Improve performance of students in the areas of mathematics and science Improve and upgrade the status and stature of mathematics and science teaching Focus on the education of mathematics and science teachers as a career-long process; Bring mathematics and science teachers together with scientists, mathematicians, and engineers to improve their teaching skills

Provide summer institutes and ongoing professional development for teachers to improve their knowledge and teaching skills. Math-Science Partnerships Current Projects Atlanta Public Schools High School Math Probability, Statistics & Operations Research Middle & High School Science Physical Science & Physics DeKalb County Schools Elementary & Middle School Math Various Common Core Standards 9th Grade Math Probability & Data Analysis Middle School Science Earth Science & Physical Science Rockdale County Schools Elementary, Middle & High School Math

Middle School Science Gwinnett County Schools Elementary School Math & Science Build Content Leadership $3 million contract for 4 years to develop online courses for teachers GT PartnerDLPE (Nelson Baker PI) 33 courses and 829 total enrollments since start (Oct, 2009) Teachers have come from 46 of the states and Puerto Rico as well as Mexico, Brazil and the Ukraine Asynchronous online courses 4-5 week courses; 5 hours/week

Emphasis is on collaboration & interactions No fees; continuing education units awarded Topics 1. 2. 3. 4. Robotics Project-Based Inquiry Learning Technology Integration Statistics & Data Statistics & Data Analysis Course I One-Variable Data Analysis, Sampling & Survey Design

Course II Two-Variable Data Analysis & Experimental Design Course III Probability Course IV Classroom Practicum Course V Statistical Inference Calculus at a Distance In 2004, a discussion between a CEISMC staff member and a Fulton County curriculum coordinator revealed a need for students needing advanced preparation beyond AP Calculus. In 2005, two semester-long college post AP calculus courses were offered. Georgia Tech Calculus II Linear Algebra & Series Georgia Tech Calculus III Multivariable Calculus Textbooks (at the level of) Calculus, One and Several Variables by Salas, Hille, and

Etgen Beginning with Linear Algebra by Carlen and Carvalho Synchronous Environment Live video-teleconferencing equipment (classes captured for later playback) Tablet PCs to support handwritten as well as software-based problem solving Calculus at a Distance Calculus II Content

Taylor polynomials and approximation Infinite series & power series Numerical integration and ordinary differential equationsvectors and Matrices Systems of linear equations Determinants and cross products Eigenvalues and eigenvectors Calculus III Content Linear approximation and Taylors theorems Lagranage multiples Vector analysis including the theorems of Green, Gauss and Stokes. Calculus at a Distance Enrollment in

2011 - 304 Proofs and Problem Solving in Number Theory and Algebra The Course: PPNTA (Proofs and Problem Solving in Number Theory and Algebra) Location: A HS in Metro-Atlanta focusing on Math Science and Technology School Personnel Daniel Connelly (a Georgia Tech graduate student) taught the one semester course under the direction of Dr. Richard Millman (Professor of Mathematics at GT, and PI on the RT3 grant). Dr. Cher Hendricks is the evaluator of PPNTA

subproject. Funded completely by RT3 Proofs and Problem Solving in Number Theory and Algebra Students There were 19 students consisting of one junior and 18 seniors in HS All students have done well in

Georgia Techs 2nd and 3rd semester of calculus and a high school differential equations course. Proofs and Problem Solving in Number Theory and Algebra Topics Covered (Initially): Basic properties of integers including Divisibility and prime numbers The Fundamental Theorem of Arithmetic Diophantine equations Equivalence relations and their applications Basic properties of polynomials Divisibility of polynomials, divisibility methods, and polynomial roots

Applications to combinatorics Other subjects may appear depending on time (Unpublished Text): Problems in Numbers and Algebra by Richard S. Millman, Peter Shiue, and Eric B. Kahn, revised 7/2011 Proofs and Problem Solving in Number Theory and Algebra Topics Covered (additions): introduction to group theory equivalence relations cryptology (an applied area coming from a theoretical background) an introduction to modular arithmetic as a more abstract part of number theory Introduction of Kleins Erlangen Program

and Lie Groups (to be a surface and a group is exciting) Proofs and Problem Solving in Number Theory and Algebra Goals Be able to construct valid proofs and identify the fallacious reasoning of incorrect proofs. Learn a variety of methods to construct proofs (direct, reduction ad absurdum, etc.) Recognize the notion of elegance in proofs Be able to construct examples that provide insights into (and a platform for) designing proofs (called synecdoche in literature.) Have the ability to argue intellectually about

mathematics with others. Conversations could cover oral proofs or directions of where to go. Proofs and Problem Solving in Number Theory and Algebra Understand what idea motivated their proofs. Recognize that proofs and problem solving are not an ask/immediate answer phenomenon. (The depth of mathematics.) Learn/revisit some facts from elementary number theory and algebra in more depth. Be able to work individually and in teams to solve mathematical problems from number theory and algebra. Be prepared for higher-level abstract mathematics courses

(or, said in a fancy way to impress parents and siblings) begin to prepare for the culture of meta-mathematics. Develop a mathematical habit of the mind and discuss what it means to you. Proofs and Problem Solving in Number Theory and Algebra Some References/Presentations Advanced High School Course in Number Theory on Students' Mathematical Self-Efficacy, Psychology of Mathematics Education (PME/NA), Reno, NV (C. Hendricks, R. Millman), 10/11 A Meta-analysis of mathematics Teachers n the Industrial Internship

GIFT Program, Psychology of Mathematics Education (PME), Ankara, Turkey, (R. Millman, M. Alemdar B. Harris), 7/11 A Meta-analysis of Mathematics Teachers of the GIFT Program Using Success Case Methodology, Educational Interfaces Between Math and Industry, ICMI-ICIAM (R. Millman, M. Alemdar and B. Harris), Lisbon, Portugal, Proceedings of the ICMI-ICIAM Study Conference, Educational Interfaces between Mathematics and Industry", ed. Araujo, Fernandes, Azevedo, Rodrigues, 2010, p. 369-376. Contacts Richard Millman and Paul Myers CEISMC, Georgia Tech

[email protected] [email protected] www.ceismc.gatech.edu

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