WELCOME

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## WELCOME

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**WELCOME**Dr. Ruth Ann Meyer KA2P Project Director**First Year in Review**• Josh Goss • KA2P Project Graduate Assistant Connie Doorlag KA2P Project Associate Director**Kalamazoo Area Algebra Project**A Mathematics/Science Partnership Project**KA2P Partners**Western Michigan University Kalamazoo Math/Science Center School Districts in Southwest Michigan**Participating School Districts**Albion Athens Bloomingdale Burr Oaks Catholic Schools Centreville Climax-Scotts Comstock Constantine Fennville Gobles Gull Lake Harper Creek Lutheran Schools Kalamazoo Martin Mattawan Parchment Paw Paw Schoolcraft Sturgis Three Rivers**Financing for Project Provided by**Mathematics and Science Partnership Competitive Grant Program – Michigan Department of Education**MDE Guidelines state that projects**• Have an active and well-defined partnership with STEM staff • Be designed to improve student achievement • Be aligned with the Michigan Professional Development Vision and Standards • Have an evaluation and accountability plan As per 2008 SBE grant criteria**KA2P Project Goal/Objectives**• Goal: • Help grades 6-12 teachers improve the teaching and learning of algebra and pre-algebra concepts • Objectives: • Increase mathematics content and knowledge for teaching mathematics of grades 6-12 teachers • Improve articulation and collaboration among grades 6-12 mathematics teachers of participating districts**More Objectives**• Establish professional learning communities within participating districts • Provide leadership preparation for teacher facilitators • Improve mathematics achievement of grades 6-12 students • Investigate algebraic misconceptions that interfere with success in algebra courses**Interventions/Activities**• PD format: Three Dinner/Dialogues (≈4:00-7:00) • Dinner will be provided and participating teachers will be paid an hourly stipend of $30/hour • Sessions will be facilitated by teacher leaders • Instructional material will be primarily on Interactive DVDs prepared by mathematics and mathematics education professors • Summer Session: Four days devoted primarily to the use of technology to teach algebra**Content Emphasis**• Teaching Algebra and Pre-algebra from a function perspective • Addressing Algebra and Pre-algebra Content Expectations • Exploring a variety of strategies/activities for teaching Algebra and Pre-algebra effectively • Including activities that help teachers initiate changes in their classrooms that will support the learning of a more diverse population of students**KA2P Advisory Committee**Dr. Brenda Earhart Director KAMSC Ms. Ruth Rowe Assistant Superintendent, Parchment Dr. Ruth Ann Meyer Director KA2P Dr. Jane-Jane Lo Co-Director KA2P Mrs. Connie Doorlag Associate Director KA2P**Dr. Valentina Aguilar-Zambrano**• Visiting Faculty at WMU • Department Chair Universidad San Francisco de Quito: 1997 - 2001 • PhD - Wichita State University • Special Interests: Applied Mathematics, Gender and Mathematics Education • Modules • Differentiated Algebra • Diversity I • Diversity II • Properties of Real Numbers**Daniel Briggs**• Mathematics instructor at WMU • Retired high school mathematics instructor • Special interest: Calculus • Modules: • Exponential and Logarithmic Functions • Mathematics Modeling I • Mathematics Modeling II**Dr. Dana Cox**• Assistant Professor at Miami University • PhD – WMU • Mathematics Education • Modules: • Function of Proportion • Rate**Dr. Jon Davis**• Assistant Professor at WMU • PhD - University of Minnesota • Secondary Mathematics Education • Modules: • Function Representation I • Function Representation II • Rational and Power Functions**Connie Doorlag**• KVCC Mathematics Education Instructor: 1990 – 2009 • Masters in the Teaching of Elementary Mathematics • KA2P Project Associate Director • Modules: • Algebraic Reasoning • Systems of Equations • Teacher Facilitator**Dr. Paul Eenigenburg**• Emeriti Faculty at WMU • WMU Professor: 1969-2008 • PhD - University of Kentucky • Special Interest: Complex Numbers • Modules: • Complex Numbers • Sequences**Katya Gallegos-Custode**• Graduate Student at WMU • Masters in the Practice of Teaching; Intelligence Development and Education • Intellectual Diagnose Specialist • Modules • Differentiated Algebra • Diversity I • Diversity II • Properties of Real Numbers**Joshua Goss**• Graduate Assistant M2RI2 • Math Education PhD student at WMU • Focusing on the learning of Pre-Algebra and Algebra • Modules: • Connections • Integers**Dr. Jane-Jane Lo**• Associate Professor at WMU • PhD - Florida State University • Elementary Mathematics Education • Co-director KA2P grant project • Module: • Function of Proportion**Dr. Ruth Ann Meyer**• Emeriti Faculty at WMU • WMU Professor: 1976-1999 • PhD - University of Wisconsin • Mathematics Education • Director KA2P grant project • Modules • Algebraic Misconceptions • Algebraic Reasoning • Function Basics • Systems of Equations • Teacher Facilitator**Dr. Allen Schwenk**• Professor at WMU • PhD – University of Michigan • Special Interest: Graph Theory • Module: • Permutations, Combinations, Pascal’s Triangle, and the Binomial Theorem**Dr. Radu Teodorescu**• Emeriti Professor at WMU • WMU Professor: 1997-2008 • PhD - University of Bucharest • Modules: • Absolute Value • Linear Programming • Conic Sections**Technology Emphasis**• Graphing Calculators TI-84 Plus Silver Edition TI-Nspire with CAS • Fathom 2 and TinkerPlot software**Project Components**• Professional development for grades 6-12 mathematics teachers – during the school year and the summer • Informational sessions for administrators • Preparation of teacher facilitators/leaders • Professional learning communities • Technology/Materials • Research/Evaluation**KA2P by the Numbers (Spring 2010)**• 131 participants • 24 facilitators • 23 districts • 40 schools • 48 Dinner/Dialogs held • 297 dinners purchased • 936 hours spent in professional development**District Experiences**• Catholic Schools of Greater Kalamazoo Facilitator Molly Williamson • Comstock Facilitators Margo Command-Heyman Marla Reed • Kalamazoo Facilitator Tina Tribu**Evaluation Update**Dr. Wendy Tackett KA2P Project Evaluator**Research Component**• Dr. Jane-Jane Lo • KA2P Project Co-Director**Goal**Investigate the common student strategies and misconceptions about selected algebraic ideas across grade levels.**Preliminary Report**• A written test was administrated to 169 students in grades 6-8, Algebra 1 and Algebra 2. • Individual interviews were conducted with 24 selected students.**How many dots will be in the 100th picture? Show your work.**#1 #2 #3 #4**How many dots are in the 100th picture?**Verbal Description: Start with 3 dots; then add one group of 2’s each time. Challenge: How many groups of 2’s?**How many dots are in the 100th picture?**Verbal Description: Start with 1 dot; then add one group of 2’s each time. Challenge: How many groups of 2’s?**How many dots are in the 100th picture?**Verbal Description: In picture #1, there are 1 dot and 2 dots; in picture #2, there are 2 dots and 3 dots….. So in picture #100, there are 100 dots and 101 dots. Answer: 201**General Rules?**Number Sentences: (add 2, 99 times) (add 2, 100 times) General Rules: y = 3+2(x-1) = 1+2x y = 1+2x y = x+(x+1)= 2x+1 x = the number of the picture, y = the number of dots in that picture**Table**x = the number of the picture, y = the number of dots in that picture**Graph**x = the number of the picture, y = the number of dots in that picture**Conclusions**• Geometrical Pattern problems are accessible to both the middle school and high school students. • Increasing the experience with complex numerical expressions in middle school may facilitate the learning of symbolic expressions in high school. • Increasing attention to the connections among multiple representations in high school will solidify student reasoning with patterns.**Future Plans**Josh Goss KA2P Project Graduate Assistant Connie Doorlag KA2P Project Associate Director**New Modules**Modules already developed for next year:**Absolute Value Functions**Dr. Radu Teodorescu Professor of Mathematics, Emeritus Department of Mathematics Western Michigan University**Algebraic Misconceptions**Dr. Ruth Ann Meyer Professor of Mathematics, Emerita KAAP Project Director Western Michigan University**Differentiated Instruction in Algebra**Valentina Aguilar, Ph.D. Applied Mathematics Department of Mathematics Western Michigan University Katya Gallegos, Specialist Teaching, Learning and Educational Studies Western Michigan University**Function Representation Translations via Technology:A**Pathway toward Deeper Function Understanding Dr. Jon DavisAssistant ProfessorWestern Michigan UniversityDepartment of Mathematics**Linear InequalitiesLinear Programming**Dr. Radu Teodorescu, Professor of Mathematics, Emeritus Department of Mathematics, Western Michigan University