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The animation is already done for you; just copy and paste the slide into your existing presentation. Slide 2 Math-Fact Issues? Slide 3 Math Fact Timing Activity Please number your paper from 1-14 Slide 4 1. 7 x 8 = Slide 5 2. 6 x 9 = Slide 6 3. 5 x 12 = Slide 7 4. 17- 8 = Slide 8 5. 17 + 16 = Slide 9 6. 11 x 10 = Slide 10 7. 9 x 3 = Slide 11 8. 27 19 = Slide 12 9. 28 + 29 = Slide 13 10. 8 x 6 = Slide 14 11. 50 x 4 = Slide 15 12. 14 9 = Slide 16 13. 17 + 8 = Slide 17 14. 12 x 3 = Slide 18 Second Time A little more time Slide 19 1. 7 x 8 = Slide 20 2. 6 x 9 = Slide 21 3. 5 x 12 = Slide 22 4. 17- 8 = Slide 23 5. 17 + 16 = Slide 24 6. 11 x 10 = Slide 25 7. 9 x 3 = Slide 26 8. 27 19 = Slide 27 9. 28 + 29 = Slide 28 10. 8 x 6 = Slide 29 11. 50 x 4 = Slide 30 12. 14 9 = Slide 31 13. 17 + 8 = Slide 32 14. 12 x 3 = Slide 33 3 33 What difference did a few seconds make for you cognitively? Emotionally? What difference did a few seconds make for you cognitively? Emotionally? What impact do you think this has on our students? What impact do you think this has on our students? Reflection Slide 34 Close Read Fluency: Simply Fast and Accurate? I think Not! 1.Number Paragraphs 2.Underline important details 3.Circle things you disagree with /confused about 4.Write Ahas! In the margins http://www.nctm.org/about/content.aspx?id=34791 Slide 35 The main consideration is that timed situations creates stress for the students, which lowers the efficiency of the brain, especially in the situation of new learning. Susan Mastering the Basic Math Facts in Addition and Subtraction Susan OConnell and John SanGiovanni Slide 36 The animation is already done for you; just copy and paste the slide into your existing presentation. The Common Core State Standards for Mathematics (CCSSM) document describes procedural fluency as skill in carrying out procedures flexibly, accurately, efficiently, and appropriately . (CCSSI 2010, p. 6) Slide 37 The animation is already done for you; just copy and paste the slide into your existing presentation. Fluency includes three ideas: Efficiency Efficiency carrying out the strategy easily. Accuracy Accuracy - depends on precise recording, knowledge of number relationships, and checking results. Flexibility Flexibility -requires the knowledge of more than one approach to solve the problem and to check the results. Developing Computational Fluency with Whole Numbers in the Elementary Grades Susan Jo Russell Slide 38 Fluency Standards by Grade Level Slide 39 Mathematics Fluency: A Balanced Approach http://www.youtube.com/watch?v=ZFUAV00bTwA Slide 40 Developing fluency requires a balance and connection between conceptual understanding and computation proficiency. Computational methods that are over-practiced without understanding are forgotten or remembered incorrectly. Understanding without fluency can inhibit the problem solving process. NCTM, Principles and Standards for School Mathematics, pg. 35 Slide 41 Conceptual Understanding Develop strong understanding of operations and number relationships through problem posing, hands-on exploration, real-world examples, classroom discussion, exploring situations through literature Susan OConnell and John SanGiovanni, Mastering the Basic Math Facts (Heinemann 2011) John A. Van De Walle, Teaching Developmentally (Pearson, 2004). Strategic Thinking Develop efficient strategies for fact retrieval. Help students see the possibilities and then let them choose strategies that help them determine the answer without counting. Slide 42 Practice for Fluency Provide drill with efficient strategies Scatter practice 5-10 min. day Use a variety of practice activities to keep students motivated Use groups of related facts Avoid too many facts too quickly Practice basic facts in Math Review and Mental Math Susan OConnell and John SanGiovanni, Mastering the Basic Math Facts (Heinemann 2011) John A. Van De Walle, Teaching Developmentally (Pearson, 2004). Slide 43 Drill can strengthen strategies with which students feel comfortableones they ownand will help to make these strategies increasingly automatic. Premature Premature drill introduces no new information and encourages no new connections. It is both a waste of time and a frustration to the child. Van de Walle & Lovin, Teaching Student-Centered Mathematics Grades K-3, pg. 117 Slide 44 Differentiation Strategies For older students needing remediation: Traditional Drill will not work Pre-assess known and unknown facts Diagnose strengths and weaknesses Provide hope! Build success! Source: John A. Van De Walle, Teaching Developmentally (Pearson, 2004). Slide 45 The animation is already done for you; just copy and paste the slide into your existing presentation. Slide 46 Assessing Students Assess progress informally/formally Develop procedures for keeping track of student data Consider using time as a personal motivator beat their own record Have students track their own progress The goal of fact checks/test should be to identify additional instructional needs. Slide 47 One more/two more Facts with zero Doubles Near-doubles (6 + 7 = 6 + 6 + 1 = 13) Ten frame/five frame Subtraction think addition, build up through 10 (13 9, 15 8) Addition and Subtraction Key Patterns: Slide 48 Multiplication and Division Patterns: Doubles Fives Zeros and ones Nines Helping facts (3 x 8 connected to 2 x 8 doubles plus 8 more) Multiplication before division Divisions connection to multiplication Slide 49 The animation is already done for you; just copy and paste the slide into your existing presentation. Children must master the basic facts because those who continue to struggle with basic facts often fail to understand high mathematics concepts. Their cognitive energy is spent doing computation when it should be spent focusing on the more sophisticated concepts being developed. (Forbringer & Fahsl, 2010) Slide 50 Group Discussion How do you currently teach and assess math facts at your grade level? What are the most significant ways in which we should rethink teaching of math facts?