Math Trailblazers Norm Kennedy SEA – February 11, 2009
Guiding Principles • Math Trailblazers • Comprehensive, K-5 mathematics curriculum with problem solving at its core • Background • National Science Foundation Grant • TIMS (Teaching Integrated Math and Science) • University of Chicago • Standards and research based curriculum • Structured so concepts and skills grow logically within each grade and across grade levels • Spiral concept
Guiding Principles • Comprehensive and balanced assessment program that is formative and summative • Teaches math facts and whole-number computation based on current research • Rigorous mathematics to all children • Teachers are facilitators rather than lecturers
NCTM Standards Number and Operations Algebra Geometry Measurement Data Analysis and Probability Problem Solving Reasoning and Proof Communication Connections Representation
NCTM Goals for Students • That they: • Learn to value math • Become confident in their ability • Learn to communicate • Learn to reason • Become mathematical problem solvers These are also the goals of Math Trailblazers. This is what sets standards-based programs apart from the traditional.
Hallmarks • Connections to Science • Real problems occur naturally • Scientific investigation/method • Draw – Collect – Graph - Explore • Connections to Language Arts • Lessons emphasize reading, writing, and oral communication • Original stories • Trade books recommended to accompany lessons • Journal and discussion prompts for every lesson • Measurement • Length, area, mass, time, volume, money
Guiding Principles for Assessment in Math Trailblazers • We assess what we value • Assessment is integrated with instruction – guides the educational experience • Assessment gauges progress over time due to the “spiraling” nature • Multiple sources of information improve the validity of judgments about student learning • Assessment activities should be balanced to reflect all aspects of the curriculum
Assessment ComponentsGrades K-5 • Portfolios • Discussion Prompts • Observational Assessment • Written Assessments • Assessment pages • Math journals • Assessment ideas for every lesson • Assessment lessons integrated within • Assessment labs • Assessment units • Open-ended problems • Tests • Facts assessment
Rubrics • Student rubrics appear beginning in grade 3 • Knowing • Telling • Solving • Multidimensional rubrics for teachers to use to score one or more areas
Stages of Computation in MTB • Developing meaning for the operation • Inventing procedures for solving problems • Learn multiple strategies through discussion and modeling • Becoming more efficient at carrying out procedures • Lack of emphasis on rote work and timed tests • Developing mathematical power • The ability to understand when and how to apply computational methods to solve problems.
Multi-Year Approach • Facts and concepts are not “gatekeepers” so students are not held back from trying something new until one concept is mastered. • Mental math and estimation is encouraged.
Working with Parents • Parent letters with every unit • Home practice with every unit • Parent brochures, letters, and homework instructions in English and Spanish • Materials for parent involvement • A Just for Families page on the Web site
Professional Development • Customized Implementation Plan • Initial Training Institute • Administrator Workshop • Assessment Workshop • Strategic Planning Institute • Math Mentor Development Workshop • Customizable On-site Training
Additional Support • Electronic Teacher Community • Online Message Boards • Live Chat • Forum to ask questions • TIMS Listserv • Newsletter – “Voice” • Website: www.mathtrailblazers.com
Teacher Components • Teacher Implementation Guide • Reference guide for teachers • Unit Resource Guide (URG) • All the lessons broken up into unitsbooks • Teacher Resource CD-ROM • A Spanish set of Letters Home • Blackline Master Book • Essential Literature Titles (Optional)
Student Components • Student Guides • Discovery Assignment Books • Adventure Books • Collection of illustrated stories • Manipulatives • Chain links, connecting cubes, square inch tiles, pattern blocks, 3-D geometric shapes, coins, bits, skinny’s, and flats, graduated cylinders, scales, etc…….
Cost • K-5 Teacher Materials Kit - $395 per class • Materials Kit - $400-1200 per class • Student Guides - $30 consumable • Adventure Book- $6non-consumable • Discovery Assignment Book $10 non-cons. • 4th grade classroom (28 students) = $2800 • http://www.kendallhunt.com