Parents Seminar 1 18 Feb 2017 Springdale Primary School 1 A 21 st - - PowerPoint PPT Presentation

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Parents Seminar 1 18 Feb 2017 Springdale Primary School 1 A 21 st - - PowerPoint PPT Presentation

Oct 15, 2022 308 likes •825 views

Parents Seminar 1 18 Feb 2017 Springdale Primary School 1 A 21 st Century Necessity Mathematics is an excellent vehicle for the development and improvement of a persons intellectual competence . Ministry of Education, Singapore

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Springdale Primary School

Parents’ Seminar 1 18 Feb 2017

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Springdale Primary School

A 21st Century Necessity “Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence.”

Ministry of Education, Singapore (2006)

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Mathematics Framework

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Phases of Learning

Phase 1 (Readiness)

  • Prior knowledge
  • Motivating contexts
  • Learning environment

Phase 2 (Engagement)

  • Activity-based learning
  • Teacher-directed inquiry
  • Direct instruction

Phase 3 (Mastery)

  • Motivated practice
  • Reflective review
  • Extended learning

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Approach of Learning

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Approach of Learning

Concrete (Enactive) Stage Pupil is introduced to an idea or skill by acting it out with real objects.

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Approach of Learning

Pictorial (Iconic) Stage Pupil has sufficiently understood the hands-on experiences and can now relate them to representation, such as a diagram or picture.

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Approach of Learning

Abstract (Symbolic) Stage The pupil is capable of representing problems by using mathematical notation.

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What is Addition?

  • Combining parts to form a whole
  • Extending a part

What is Subtraction?

  • Taking away from a whole
  • Comparing parts
  • Reverse of addition

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Springdale Primary School

Communicating Addition and Subtraction

Addition

Primary 1 Primary 2 Add, addition equation Add, addition equation 1 more, 2 more, 10 more,… 1 more, 10 more, 100 more,… Total, sum Total, sum How many … altogether? How many…altogether? How many … at first? How many … at first? How many … in all? How many … in all?

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Communicating Addition and Subtraction

Subtraction Primary 1 Primary 2 Subtract, take away, subtraction equation Subtract, take away, subtraction equation 1 less/fewer, 2 less/fewer,… 1 less/fewer, 10 less/fewer, 100 less/fewer,… Difference Difference How many … left? How many … left? How many more to …? How many more to …? How many more is … than …? How many more/fewer is … than …? How much cheaper/lighter/heavier/change?

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Springdale Primary School

Addition Strategies

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Primary 1

  • Within 20
  • Counting on
  • Add ones first,

then add tens

  • Make 10

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  • Within 100
  • Add ones first,

then add tens

  • without

regrouping

  • with

regrouping Primary 2

  • Within 1000
  • Counting on
  • Add ones first, then

add tens, then add hundreds

  • Without regrouping
  • With regrouping
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Springdale Primary School

Subtraction Strategies

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Primary 1

  • Within 20
  • Count on
  • Count backwards
  • Subtract from ones
  • Subtract to get 10 first
  • Subtract from 10 first

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  • Within 100
  • Subtract ones first,

then subtract tens

  • without

regrouping

  • with

regrouping

Primary 2

  • Within 1000
  • Counting on
  • Count backwards
  • Subtract ones first,

then subtract tens, then subtract hundreds

  • Without regrouping
  • With regrouping
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Common Misconceptions

  • Confused with the keywords
  • Mary has 10 apples. She has 2 apples

fewer than Tom. How many apples does Tom have?

  • Confused between different strategies

13 – 7 13 – 3 = 10 3 4 10 + 4 = 14

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Common Misconceptions

  • Confused with the place value
  • 68 – 3 = 38
  • 57 – 24 = 15
  • Confused with formal representation
  • 62 – 39 = 37
  • 4 – 9 = 5

(subtract 3 ones as 3 tens) (subtract 24 as 4 tens 2 ones) (use bigger digit to subtract smaller digit  9 – 2 = 7) (wrong representation of subtracting 4 from 9)

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Common Misconceptions

  • Confused with formal representation

Use bigger digit to subtract smaller digit  6 – 1 = 5 2 – 0 = 2 2 – 1 = 1

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Common Misconceptions

  • Confused with formal representation

Add instead of subtract  6 + 1 = 7 0 + 2 = 2 2 +1 = 3

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Springdale Primary School

Common Misconceptions

  • Confused with formal representation

Mixture of addition and subtraction

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What’s next?

  • Let’s use common terms
  • regroup
  • Identifying renaming games

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What’s next?

  • Practise with smaller values
  • Estimate
  • “Will your answer be more than 200?”

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Addition and Subtraction

  • Primary 3
  • Addition and Subtraction within 10 000
  • Problem Solving
  • Primary 4
  • Addition and Subtraction within 100 000
  • Problem Solving

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Time to play!!

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Please download this multiplication game

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Multiplication and Division

It is really not as easy as we think Video – 3 Times 5 http://www.youtube.com/watch?v=E4nLyV7YAb4

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And it is probably not as intuitive as we think Video - 25 Divided by 5http://www.youtube.com/watch?v=omyUncKI7oU

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What is Multiplication?

  • Repeated Addition

(applicable for whole numbers only)

  • 3 x 2  3 groups of 2  2 + 2 + 2
  • Equal Groups

3 sets of 2 gloves 2 sets of 5 petals

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What is Multiplication?

  • Scaling (applicable for fractions and decimals)

To make the whole according to a given scale [ how many] OF [this unit] = [the whole amount] [ how much] OF [this unit] = [the whole amount ]

How much of them?

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Alan Bryan Carl What is Division?

  • Equal Grouping

(Repeated Subtraction – for whole numbers only)

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What is Division?

  • Equal Sharing

Alan Bryan Carl

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  • Reverse of multiplication
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Communicating Multiplication and Division

Multiplication Division Multiply Divide, divided by, divided into 1 group of, 2 groups of, 10 groups of,… Each group of … Pairs, twos, threes, sevens,… … groups of … Times Share, share equally Total How many … equal groups? product Quotient, remainder How many … altogether? How many …in each group?

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What Pupils Need to Learn

For Primary 1

  • Concepts of multiplication & division
  • Use of the multiplication sign “x”
  • Multiplying within 40
  • Dividing within 20
  • Solving 1-step word problems involving multiplication

& division with pictorial representation

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What Pupils Need to Learn

For Primary 2

  • Multiplication tables of 2, 3, 4, 5 & 10
  • Use of the division sign “÷”
  • Relationship between multiplication & division
  • Multiplying & dividing within the multiplication tables
  • Solving 1-step word problems involving multiplication

& division within the multiplication tables

  • Mental calculation involving multiplication & division

within the multiplication tables of 2, 3, 4, 5 and 10

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What Pupils Need to Learn

For Primary 3

  • Multiplication tables of 6, 7, 8 & 9
  • Multiplying & dividing within the multiplication tables
  • Division with remainder
  • Multiplication & division algorithms

(up to 3 digits by 1 digit)

  • Solving up to 2-step word problems involving the 4
  • perations
  • Mental calculation involving multiplication & division

within the multiplication tables

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Multiplication & Division

Mrs Chan paid $16 for 8 similar boxes of tarts. How much did each box of tarts cost? There are 6 rows of chairs in a classroom. Each row has 4 chairs. How many chairs are there altogether? Examples of Word Problems Mrs Lim gave 20 stickers to some children. Each child received 4 stickers. How many children did she give the stickers to?

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Strategies to Learn Multiplication & Division

  • Always start with concrete objects, i.e. sweets, beans, cookies.
  • Have children show equal grouping
  • I have 10 M&Ms. I am giving each child 5 M&Ms.

How many children will receive the M&Ms?

  • Have children show equal sharing
  • Share 10 M&Ms between 2 children.

How many M&Ms does each child get?

  • Progress with pictures when children are more familiar

with the concept of grouping & sharing.

  • Link multiplication and division to real-life context.

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Strategies to Learn Multiplication & Division

There are 100 multiplication facts, from 1 x 1 to 10 x 10.

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Strategies to Learn Multiplication & Division Strategy #1 You Times Me is the Same as Me Times You

That leaves us with 55 facts .

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Strategies to Learn Multiplication & Division Strategy #2 Any Number Times One is that Number Itself

That leaves us with 45 facts .

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Strategies to Learn Multiplication & Division Strategy #3 To Multiply by Ten, Add a Zero

That leaves us with 36 facts .

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Strategies to Learn Multiplication & Division Strategy #4 To Multiply by Two, Double the Number

That leaves us with 28 facts .

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Strategies to Learn Multiplication & Division Strategy #5 To Multiply by Four, Double and Double

That leaves us with 21 facts .

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Strategies to Learn Multiplication & Division Strategy #6 To Multiply by Five, Count by Five That leaves us with 16 facts .

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Strategies to Learn Multiplication & Division Strategy #7

To Multiply by Nine, Tens Increases by 1, Ones Decreases by 1

That leaves us with 10 facts .

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Strategies to Learn Multiplication & Division Strategy #8 Commit to Memory the Ten Remaining Facts

3 x 3 = 9 3 x 6 = 18 3 x 7 = 21 3 x 8 = 24 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 7 x 7 = 49 7 x 8 = 56 8 x 8 = 64

These are the tricky ones.

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3 times table

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Common Misconceptions

  • “3 x 5” mean the same as “5 x 3”?

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3 groups of 5 5 groups of 3

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Common Misconceptions

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  • Familiar with number bonds within 9 + 9
  • Make use of virtual manipulative
  • http://nlvm.usu.edu/en/nav/topic_t_1.html
  • Engage in games
  • http://www.mathcats.com/grownupcats/idea

bankaddition.html

  • Provide concrete experience
  • Encourage think-aloud
  • Show how Maths is part of daily life

Parental Involvement

47 The following links are effective on 10th February.

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Multiplying using Your Hands

http://www.youtube.com/watch?v=twv-ynv_m9o

Multiplying Using Songs

http://www.youtube.com/watch?v=KL_bi0te0go

Multiplying by Drawing Lines

http://www.youtube.com/watch?v=_AJvshZmYPs

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Multiplying by Playing Games

http://www.multiplication.com/games/all-games

Parental Involvement

The following links are effective on 10th February.

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Parental Involvement

Math slide basic facts King of Maths Find Sums Eggy subtraction Astro Math Hundred Board Thinking Block (+,-) Thinking Block (x, ÷) Timetables3 Love to Count Math Splash Tugboat Add Caterpillar! Subtraction Galaxy Grand Prix Sailboat Sub Quick Math Jr Math Monsters Hundred Chart FlashToPass

List of Educational Applications for Smartphones /iPads

The following apps are effective on 10th February.

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Thank You! Questions?

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