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Preparing for TAKS Elementary Mathematics
General Overview on TAKS • New assessment mandated by SB 103 • Exit level graduation requirement at Grade 11 • Exceeds the cognitive rigor of prior statewide assessments • Includes technology at the high school level
Griddable Items • These items are included at all levels. • The majority of items on the test will remain multiple choice. • Griddable items allow students to work the problem and find the solution, independent of answer choice influences.
Things to Keep in Mind • Students should be offered opportunities to practice gridding answers. • Leading zeroes are not required and will not be scored as incorrect during electronic scoring. • Gridding should match the current approach to recording numbers used in the classroom.
Sample Grids–Elementary Level GRADE 3 GRADE 4/5
Sample Grids–Secondary Level GRADE 6/7/8 GRADE 9/10/11
SampleGriddable Item Grade 7 Objective 1
Mathematics Charts • New shading for easier reading • Two-sided—conversions and rulers on the front, formulas on back • Formulas represented in two ways • Closely aligned with instructional materials
Measurement Items • Precision to the nearest eighth of an inch • Precision to the nearest millimeter in metric • Application-based • Strong connection to measurement found in real-life situations • Identified by “Use the ruler on the Mathematics Chart to…”
TAKS = TEKS Assessment • Item alignment with state curriculum standards • Alignment between grade level assessments (difficulty level assumed) Student expectation statements introduced at one grade level and not assessed will most likely be tested the following year.
TEKS StatementGrade 3 (3.11) Measurement. The student selects and uses appropriate units and procedures to measure length and area. The student is expected to: (B) Use linear measure to find the perimeter of a shape.
TEKS StatementGrade 7 (7.9) The student solves application problems involving estimation and measurement. The student is expected to: (A) Estimate measurement and solve application problems involving length (including perimeter and circumference), area, and volume.
Find the exact number of cubes measuring 3 centimeters on an edge that will fill a box shaped like a rectangular • prism that measures 24 centimeters by 18 centimeters by 9 centimeters. Objective 4 TAKS
TEKS Statement Exit Level G(b)(4) The student uses a variety of representations to describe geometric relationships and solve problems. (A) The student selects an appropriate representation ([concrete], pictorial, graphical, verbal, or symbolic) in order to solve problems.
Alignment is KEY! Curriculum Instruction Assessment
Texas Mathematics Instruction TEKS TAKS
How to Prepare • TEACH THE TEKS. • Develop a variety of ways to explore each Student Expectation. • Stay away from “test prep” materials. • Use technology often. • Attend staff development in identified areas of need.
Prepare by: Critically reading and reflecting on TEKS statements • Individually • With colleagues • With students • With parents
Prepare by: • Reviewing all TEKS statements • Determining what mastery would “look like” in the classroom • Thinking about interventions that might be used with struggling students
Curricular Alignment • At a minimum, study the TEKS statements for the grade above and below your level. • Use curriculum that “matches” the intent of the TEKS. • CLOSE is not acceptable. • Select and use instructional materials that meet the spirit of the TEKS.
Curriculum Should • Involve challenging activities and lessons that force students to think critically in order to solve problems • Be rigorous and require students to apply mathematical knowledge in meaningful ways
Teachers Should Motivate and involve all students, even those struggling with the content, in difficult mathematics problem solving on a daily basis. All students should be required to communicate and process mathematics from the conceptual to symbolic level. Students are counting on you to help them meet the new graduation requirements in mathematics.
Ten Practical Strategies for Helping Our Students Beat the Tests Through Better Instruction Steve Leinwand Consultant, NCTM
Strategy 1 Embed math in real world contexts that are rich and engaging and lead to more math questions.
Strategy 2 Incorporate on-going cumulative review into instruction every day.
Strategy 3 Create a language-rich classroom.
Strategy 4 Use every number as a chance to build number sense.
Strategy 5 Draw pictures, create mental images, and foster visualization.
Strategy 6 Build from charts, graphs, and tables.
Strategy 7 Don’t leave out measurement.
Strategy 8 Adapt strategies from what we know about teaching reading.
Strategy 9 Minimize what is no longer important.
Strategy 10 Create a thinking curriculum by asking questions.
The Assessment Principle NCTM, 2000 Six standards for exemplary mathematics assessment: • Reflect the mathematics that students know and are able to do • Enhance mathematics learning • Promote equity • Create open processes • Promote valid inference • Create coherent processes
Assessment Conduct informal assessment often • To determine students’ level of knowledge • To individualize instruction • To “catch up” students struggling with content
Conceptual Knowledge (WHAT) • Classification and categories • Principles and generalizations • Theories, models, and structure
Procedural Knowledge (HOW) • Subject-specific algorithms • Subject-specific techniques and methods • Criteria for determining when to use appropriate procedures
Communication (WHY) • Clear, detailed, and organized analysis to justify the solution using correct terminology and notation • Presentation clearly displaying the thinking process • Effective communication to target audience • Reflection on the concepts required, processes used, and the results drawn to conclusions
Forms of Assessment • Interviews • State-developed diagnostics • Portfolios • Performance Tasks • Homework • Class work • Group work
Resources • Use resources that are aligned to TEKS. • Be cautious of materials that claim to be TAKS-based.
Information Booklets: • Are TEA-developed resources that mirror previous Educator Guides • Include objectives and Student Expectation statements assessed on TAKS • Include additional information to clarify the TEKS measured • Include sample items
For TAKS reference . . . • Use Information Booklets, not Educator Guides, to plan for the new assessment. • Do not anticipate that items will reflect the TAAS items; this is an entirely new assessment system.