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Strategies for Building Math Confidence Ann-Marie Hunter

Strategies for Building Math Confidence

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Strategies for Building Math Confidence. Ann-Marie Hunter. Reasons for Building Math Confidence. Math can be a huge source of anxiety; often students are made to feel that they are destined to fail. - PowerPoint PPT Presentation

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Building Math Confidence

Strategies for Building Math ConfidenceAnn-Marie Hunter

Reasons for Building Math ConfidenceMath can be a huge source of anxiety; often students are made to feel that they are destined to fail.

Your efforts to reduce Math anxiety can alter students attitudes towards their own abilities and create success.

Many parents and educators act as though only some people can do Math.

Communicating to your students that you believe everyone can do Math, motivates them to do their best.

Work on creating a hands on, meaningful learning environment to engage students.

Workshop OutlineMastering the Basics Power of TenBrain research - how it can sharpen your teachingPlace value Focus on the Facts Mental Math

1) Mastering the Basics

Mastering the Basics ProgramREINFORCES BASIC SKILLS student choice of topic - opportunities to rewrite

students develop ownership of their own progress.

results are private no whole class sharing each student works on areas of his/her own need.

parents like the goals - they can easily help their children.

Record sheet used for each student:

record scores from Basic Facts Tests as # of errors.

each test day, record topic & form

after marking, record % score

after 80% mastery has been reached, check off Topic Mastered column

Average all passing scores for Term Average

Copy this form and include the copy with each childs report card

2) Use Brain Research to Sharpen Your TeachingSemantic memory Knowing what a bike is and being able to describe it is using Semantic memory. Episodic memory Having experienced riding a bike and remembering the multitude of times you enjoyed biking is using Episodic memory.Procedural memory Being able to get on a bike and ride it without thinking is using Procedural memory.

Using Brain Research ~ Adjust your teaching in these ways:*FABULOUS FOUR*Personalize instruction to promote retentionUse visual, hands-on tools for learning Verbally reinforce learning as much as possible Incorporate movement within each lesson

3) Place Value Reading numbers ____ hundred ____ tee ____ then say the final digit. Example: 572 reads as: 5 hundred, 7 tee, two. Read any number: __ __ __ MILLION __ __ __THOUSAND __ __ __ . __ and tenths __ __ __ MILLION __ __ __THOUSAND __ __ __ . __ __ and hundredths Activity #11 - Convert numbers to words, capitalizing the SPACE NAMES:67 893 542sixty-seven MILLION, eight hundred ninety-three THOUSAND, five hundred forty-two

2 Convert words to numbers, ordering the periods (groups of 3) of digits

Focus on the 3-digit numbers between the space names.Place those series of numbers in order. five hundred six MILLION, 506 two hundred seventy-eight THOUSAND, 278ninety- seven 097506 278 097 Using reading numbers to develop student confidence and understanding of place value Which digit is in the ten thousands place?

Example: 258 673 910 Students think: 258 M 673 Th 910 Identify the THOUSANDS period (the period in front of the THOUSANDS space name) Look at 673 and find the tens place. In this example, its 7

Use Models for DecimalsConvert Base Ten Blocks to demonstrate the relationship between units, tenths, hundredths, and thousandths Large Cube: ones (units) Flats : tenths

Rods: hundredths Small cubes: thousandths

4) Focus on the Facts After learning to read, learning the multiplication facts is probably one of the most important things we learn in elementary school. - Trevor Calkins

We sometimes think we cant give students time to build timestables knowledge because I have all those units to cover!

The truth is you cant ignore students need to understand and know Basic Facts. Knowing basic facts BUILDS CONFIDENCE and CREATES SUCCESS!

After a child knows the facts, everything seems easier and IS easier! Mental Math confidence begins to grow.

Knowing Math facts allows students to confidently engage in learning new concepts. Power of Ten CardsPower of Ten Card for 8

Power of Ten Card for 7Check out the Power of Ten cards at your table

VISUALIZING NUMBERS BUILDS NUMBER SENSEUse Power of Ten cards to give visual aidPractise subitizing to 10 1 + 9 = 10 2 + 8 = 10 3 + 7 = 10

Talk about mentally combining numbers, encouraging students to visualize them.

7 + 7 = (7 + 3) + 4 = 10 + 4 = 14 Discuss the thinking involved Activity #2Power of Ten multiples sheet visually shows groups of numbers 6 groups of 7 Activity #3

6 X 7 = 5, 10, 15, 20, 25, 30 (skip counting full columns) then - (adding on the twos) 32, 34, 36, 38, 40, = 42Use Visual Tools to reinforce the meaning of multiplication and division:Other ways to represent multiplication facts Cross lines:Arrays:Count the intersections. Shade a section of graph paper. 3 X 9 = 27 3 X 7 = 21

Record the total for Record the total for each line each row

Use tiles to make rectangles that represent multiplication/divisionFor example, 24 divided by 6Use 24 tiles Evenly placed into a rectangle with 6 rows (or columns). Identify how many columns (or rows) are created, thus giving 4! Link these discoveries with Fact Families practise.

Continually allowing students to discover Math facts with concrete objects gives them a visual tool to link to understandings, becoming confident.Activity #4

4 X 7 = 28, so 7 X 4 = 28, 28/7 = 4, and 28/4 = 7

Use Triangular Flash Cards! Talk about multiplication and division together Fact Families

Memorization Advice Memorization is about speed, efficiency, and freeing up brain space for other Math thinking ~ Greg Tang

It has been repeatedly shown that knowing sums to 10 and knowing the timestables, contributes significantly to Math success. The increase in speed, efficiency and free brain space, converts to less frustration and greater confidence. ~ Ann-Marie Hunter

Triangular Flash CardsMEMORIZATION of timestables should NOT HAPPEN until AFTER having lots of time with concrete examples.TRIANGULAR FLASH CARDS:Each card is a triangle with two factors and the product written in cornersStudents cover one corner - try to identify the covered number using the other two numbers

Triangular Flash Card

Reduced Times Tables sheet Visually looks like half as many to learn Helps students to practise what they know in an organized mannerUse the blank sheet on one side, with answers on the other, to encourage pairs of students to study togetherStress importance of Perfect Squares: 2 X 2, 3 X 3, 4 X 4 Students build their recall of other facts based on what they already knowPower of Ten All the Facts sheets can be used as a regular check on timestables progressStudents make triangular flash cards for ones they dont know

Practise multiplying by powers of 10 - powerful skill for estimating/mental math 3 X 10 = 30 7 X 100 = 700 2 X 1000 = 2 000

40 X 300, (4 X 3) = 12 place the #of zeros (3) behind the 1212 000200 X 500, (2 X 5) = 10 place the 4 zeros behind the 10 100 000

Partners challenge each other and check answers on calculators.Activity #6

Double Digit Multiplication 45Use Multiplying by Powers of Ten skills to X 37 (30 + 7) help with the multiplication 315 (7 X 45) algorithm + 1350 (30 X 45) (because were multiplying by 30, we place a zero at the end of the second line and then pretend were multiplying by 3) 1665

Additional Resources to make learning timestables fun:

a) Timestables the Fun Way! - Judy Rodriguez Contextual representation of the multiplication facts. Example #1: Sean - kite flyer from top of hill Happy to turn 16 and gets his drivers license Can drive his 4 X 4 instead of walking!

Remember: You need to be 16 to drive a 4 X 4, so 4 X 4 = 16!

Example #2: 6 X 6 Oasis in a desert (thirsty sixes)

Additional Resources to make learning timestables fun:

b) TIMEZ ATTACK online video game format - teaches and reviews timestablesFree and Paid version www.bigbrainz.com

c) MATHLETICS online individualized Math explorations. Mathletics Live students compete with kids all over the world on Basic Facts. They love it! www.mathletics.ca

Arrow Graphs * opportunity for students to think creatively * demonstrate student understanding * easy to incorporate into your planning4 8 - 41 + 1 + 1 + 116/4300 - 296(2 X 7) (5 + 5) + + + + + + +

9.5 4.1 1.440 000 divided by 10 000Optional Activity

4) Mental Math skillsModel Mental Math: Describe how you do Math in your head no writingEncourage visual tools to support Mental Math. Eventually, students will be able to see the numbers in their heads!Discuss how always using a calculator limits thinking! disables the learner!Practising Mental Math builds confidence with numbers! Talk about how to do Mental Math

Power of Ten cards build Mental Math skillsEXAMPLE: What is 8 + 7?

(How much do I need to add to 8 to get 10? Answer, 2)So Ill use 2 of the 7 to make a 10 and then therell be 5 left over from the 7. I can add that to the 10 to get 15!So 8 + 7 = 15 These skills then can be adapted to Finding 28 + 37, adding the tens first!

Optional Activity

Encourage Mental MultiplicationExample #1: 5 X 26 = (5 X 20) + (5 X 6) = 100 + 30 = 130

Example #2:3 X 19 = (3 X 10) + (3 X 9) = 30 + 27 = (30 + 20) + 7 = 50 + 7 = 57

Activity #7

Motivate students with Mental Math Tricks1) Multiplying any 2-digit number by 11:

34 X 11 4 7 3 374 The final digit is the final digit of the original number

The middle digit is the sum of the two digits of the original number (3 + 4)

The first digit is the first digit of the original number (plus any carried ten from the sum of the two digits).

Motivate students with Mental Math Tricks

2) Squaring any 2-digit number that ends in a 5:Multiply the first digit times one higherfinish the number with 25Example: To square 75 (finding 75 X 75)Use 7, and multiply 7 by (7 + 1) = 7 X 8 = 56, then place 25 on the end: 5625.

So 75 X 75 = 5625

Other Materials in your packageFantastic Factors sheet & Factor Frenzy gameGeometry hands-on activityFind the Digits worksheetMeasurement Conversion chart & gameI Have Who Has? - blank sheetVertical Number Line for number sense, estimatingPower of Ten WebsitePower of Ten program confidence building resourceDevised by Trevor Calkins Victoria BC educatorVideos are very helpful10% discount when you email Trevor and mention Ann-Maries workshop

Please check out PITA ~Provincial Intermediate Teachers AssociationAttending a START UP! or PITA workshop automatically makes you a member! So WELCOME TO THE CLUB!

www.pita.ca lots of resources and information about upcoming events.

You receive newsletters throughout the year!

Upcoming PITA ConferencesWhistler Conference May 9th, 2014 all day workshops. PITA Fall Conference Oct. 24/25, 2014Langley

Check them out at: www. pita.caStart UP! Your Class Websitestartupyourclass.ca is the Start UP! website. Sponsored by PITAhelpful for early career teachers; also great for experienced teachers

Start UP! program of workshops on practical subject area units and strategies - August

contains links to many resources

blogs and info about upcoming events

opportunities to connect to other teachers & compare experiences

Thank you for being a teacher!

Divisibility Rules to find factorsA number is evenly divisible by: 2, if the number ends in a 0, 2, 4, 6, or 8 (the number is an even number)

3, if the digital sum is a 3, 6 or 9 (add all the digits of the number to get the digital sum)

e.g. 351 is divisible by 3 because 3 + 5 + 1 = 9 Divisibility Rules to find factorsA number is evenly divisible by:

5, if the last digit of the number is a 5 or a 0

4, if dividing the number by 2 gives an even # 10, if the number ends in a zeroFantastic Factors sheetStudents check numbers from 1 to 24, FACTORS = #s that divide evenly into 24: (1 and 24 are obvious!)1, 2, 3, 4, 6, 8, 12, 24 Use RAINBOWS to link up the pairs:

1, 2, 3, 4, 6, 8, 12, 24 List of Factor Pairs:1 X 24 2 X 12 3 X 8 4 X 6

Activity #8 FACTOR FRENZY GAME gives students practise at building their knowledge of number factorsSee handout for game rules and sheet copies can be found in the Start UP! website, Math resources.

Either use blank Fantastic Factors sheets students fill inOr hand out the completed Fantastic Factors sheets

After some practice, students should be able to play the game without referring to the factor sheets.

Prime Factorization 12012 X 10 2 X 6 2 X 5 2 X 3 Circle the primes!

So 120 = 2 X 2 X 2 X 3 X 5 or 23 X 3 X 5