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Slide 1 STRATEGIES FOR TEACHING MATHEMATICS Strategies for Building Number Sense and Computational Fluency Slide 2 INCREMENTAL REHEARSAL INTERSPERSAL WORKSHEETS INDIVIDUALIZED SELF-CORRECTION CHECKLIST COVER-COPY-COMPARE ERRORLESS LEARNING WORKSHEETS TIME DRILLS GAMES USE BOOKS TO ENGAGE STUDENTS WRITING ACTIVITIES SOCIO-DRAMATIC PLAY MNEMONICS MANIPULATIVES MISCELLANEOUS IDEAS Slide 3 INCREMENTAL REHEARSAL Flash cards (http://www.aplusmath.com/Flashcards/Flashcard_Creator.html)or index cards with problems students are expected to knowhttp://www.aplusmath.com/Flashcards/Flashcard_Creator.html Student is given two seconds to answer problems correct answers into known pile, incorrect answers into unknown pile. Nine cards are selected from known pile; rest discarded. A review deck is started by teacher reading and answering one problem from the unknown stack; student repeats problem and answer Teacher chooses one known card and uses with unknown card having student say problem and answer to both; two card sequence continues until each answer is given within two seconds Additional known problems are added to the deck until all nine known problems are used with unknown problem Review deck now has nine known and one unknown problem; when each is answered in two seconds or less, one original known fact is discarded and another unknown problem is added following the same procedure as above Jim Wright http://www.interventioncentral.org/htmdocs/interventions/math/math_increm_rehearsal.p hp Slide 4 INTERSPERSAL WORKSHEETS Teacher identifies challenging problems for a student Teacher identifies easy problems for a student Worksheet is prepared alternating two types of problems Worksheet Generator for Numbers at http://www.interventioncentral.org/htmdocs/tools/mathprobe/all mult.php http://www.interventioncentral.org/htmdocs/tools/mathprobe/all mult.php Jim Wright http://www.interventioncentral.org/htmdocs/interventions/math/math_interspersal.php http://www.interventioncentral.org/htmdocs/interventions/math/math_interspersal.php Slide 5 INDIVIDUALIZED SELF- CORRECTION CHECKLIST Teacher meets with students to analyze mistakes Together develop way to avoid mistake Students use checklist when working independently Zrebiec Uberti, Mastropieri & Scruggs, 2004 Slide 6 COVER-COPY-COMPARE Jim Wright, http://www.interventioncentral.org/htmdocs/interventions/g enAcademic/ccc.php http://www.interventioncentral.org/htmdocs/interventions/g enAcademic/ccc.php Prepare worksheets with problems with answers on left, unsolved problems on right Student looks at worked problem Student covers correct problem, works problem on right and checks Slide 7 ERRORLESS LEARNING WORKSHEETS Timed worksheets with include an answer key at the top of the page Student locates answer to problem they cannot work and write it in Caron, T. A. (2007). Learning multiplication the easy way. The Clearing House, 80, 278-282. Jim Wright www.interventioncentral.orgwww.interventioncentral.org Slide 8 TIME DRILLS TI-10/15 Slide 9 TIME DRILLS Textbook Worksheets Web Sources http://www.interventioncentral.org/htmdocs/tools/m athprobe/allmult.php http://www.interventioncentral.org/htmdocs/tools/m athprobe/allmult.php http://www.aimsweb.com/login.php http://www.aimsweb.com/login.php Extension Chart Progress Graph Progress Slide 10 GAMES Mental Paper and Pencil Board Computer Slide 11 MENTAL NUMBER GAMES A Minute or Less start with a number and give students an operation and another number. Without telling them the answer, use that answer and give them another number and operation. Operations are performed in the order given. Make It More, Make It Less Number Sense and Operations Addenda Series Grades K-6, NCTM One-Out Navigating through Number and Operations in Prekindergarten-Grade 2, NCTM Slide 12 PAPER AND PENCIL NUMBER GAMES Give students a number and have them come up with computational problems that fit that number. Give students a date and see how many problems they can write that uses all the digits in that date. Commercial Board and Computer Games Slide 13 1/14/96 0 = 4 + 6 9 1/1 0r 6 - 4 + 1/1 - 9 1 = 4 + 6 9 1 + 1 2 = 94 6 + 1 + 1 3 = 6 - 4 + 9 (1+1) 4 = 5 = 6 + 4 - 9 (1+1) 6 = 49 6 + 1 - 1 etc Slide 14