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Welcome to PS 6 Math Night 2009. Jane Galasso Math Coach jgalass@schools.nyc.gov. What does math entail at PS 6?. We start with lots of games and hands-on activities in the lower grades Gradually move students towards recording their work, but they still play games to help reinforce concepts
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Welcome to PS 6 Math Night 2009 Jane Galasso Math Coach jgalass@schools.nyc.gov
What does math entail at PS 6? • We start with lots of games and hands-on activities in the lower grades • Gradually move students towards recording their work, but they still play games to help reinforce concepts • More paper and pencil work, and less games in the upper grades • Story problems…math needs to be contextual so that students can apply their skills to real-life situations • Major goal is for students to understand math and not just follow a rote set of directions to solve a problem and/or achieve an answer
What do we use to teach math? • Main curriculum is Investigations (sometimes referred to as TERC) • Games taken from other curriculums, or devised by a teacher • In some grades, we use additional curriculum materials such as Contexts for Learning (Math in the City @ City College), and Mathematics in Context • Worksheets, tests, quizzes, etc. made by the teacher to suit the needs of the students • Ten-minute math – this can be anything from counting around the classroom by a certain number, to playing Guess My Number, to using a number string (eg. 26 + 10, 26 + 12, 26 + 22) • Test Prep (grades 3-5)
Investigations Student Activity Book • Provides daily practice and homework • Homework pages have a reference to the SMH • Gives students the opportunity to practice and review their lessons Student Math Handbook • A single handbook for grades 1-5, which offers a valuable reference to the mathematical ideas and vocabulary introduced in the curriculum • Two sections • Games: Directions for home and school • Math Words and Ideas: overview of work, and closer look at ideas and problems that students encounter
Investigations: what do we teach? • Number sense and operations • Geometry • Measurement • Data, Probability, and Statistics • Algebra • Fractions (Grade 2) Decimals (Grade 4) and Percents (Grade 5)
Why do we not teach the way we were taught? • We want our students to have a repertoire of strategies for solving problems – not just one • We want our students to possess number sense - to think flexibly about numbers, to understand their magnitude, and be able to manipulate them
Strategies Left-Handed • Computation begins on the left with the most important digits, and emphasizes the value of each digit. For example: 318 + 256. With the first calculation, you know that the answer is somewhere around 500. 300 + 200 = 500, 10 + 50 = 60, 8 + 6 = 14. 500 + 60 + 14 = 574. Right-Handed • Computation begins on the right with the digits with the least value, and does not emphasize the value of each digit. For example: 318 + 256. 8 + 6 = 14, regroup the one (really a ten), 1 + 1 + 5 = 7 (really 10 + 10 + 50 = 70), 3 + 2 = 5 (really 300 + 200 = 500).
Strategies (cont’d) Flexible • Strategies tend to change depending on the numbers. For example, you might solve 102 - 27 differently from 85 - 42 Rigid • One strategy is used for all computations 102 85 - 27 - 42
Math Benchmarks (for September) • Grade 2 – addition and subtraction facts to 10 • Grade 3 – addition and subtraction facts to 20 • Grade 4 – multiplication facts up to 10 x 10 • Grade 5 – multiplication and division facts to 12 x 12
Practicing Facts at Home • Flashcards • Games sent home by teachers • Games using decks of cards • Compare/Double Compare/Subtraction Compare • Multiply 2 cards together • Pull 4 cards and make 2 2-digit numbers to add or multiply
How Else to Help at Home • Ask questions when helping with homework, for example: • What are you trying to figure out? • What part of the problem do you already know how to solve? • What have you figured out so far? • Where is a good place to start? • What strategy do you think you could use?
Commercial Games • Mancala • Set • Connect 4 • Make 7 • Tangoes • Othello • Mastermind • Yahtzee • Rush Hour • Equate/’Smath (math versions of Scrabble)
Web Sites • http://investigations.terc.edu/ • www.kidsites.com (click on math)