Math Early Learning Continuum - 4 Sessions

 A series of online Sessions for Kindergarten Teams (Teachers and Early Childhood Educators).

These sessions reference the Lawson Continuum with the 'pre addition' strategies.

Join:

Heather Wark (Lakehead University)
Denise Ladd, Sally Parkinson & Alicia Schenck (LKDSB)
and LKDSB Educators from High Park, Plympton-Wyoming, King George (Chatham), P.E. McGibbon, Dresden, Riverview and McNaughton

Session 1: Subitizing for Early Learners - Tues. Nov 24 @ 3:45

Session 2: Counting for Early Learners -Tues. Dec 1 @ 3:45

Session 3: Problem Types for Early Learners - Tues. Dec 8 @ 3:45

Session 4: Early Number Screening - Tues. Dec 15 @ 3:45

All sessions will be presented online at: https://us02web.zoom.us/j/81152578806
Password: LKDSB

Math Early Learning Continuum - 3 Sessions

The Lambton Kent District School Board Program Department is hosting online learning sessions for ECEs, Early Years Educators, and Kindergarten Educators.

The sessions will explore Math – Early Learning Continuum

• Session 1: Subitizing for Early Learners 
• Video archive of the session: https://youtu.be/mDsYlG06CGM
  Presented January 15
  Provide feedback or request a certificate of participation: tinyurl.com/subitizing2020

• Session 2: Counting for Early Learners: 3 Strategies That Makes Counting Work
• Video archive of the session: https://youtu.be/SCiXbuq-_xc
  Presented January 22
  Provide feedback or request a certificate of participation: tinyurl.com/counting2020

• Session 3: Intentionally Infusing Math Thinking into Play
• Video archive of the session: https://youtu.be/q6RopxI2Y1c
  Presented January 29
  Provide feedback or request a certificate of participation: tinyurl.com/infusing2020 
• Here is a download of the slide deck from the presentation.

These sessions reference the Lawson Continuum with the 'pre addition' strategies.

Presented by:
Heather Wark (Lakehead Unversity)
Jenn Gardiner, R.E.C.E. (LKDSB)
Mary Lynn Anderson, (LKDSB)
Ben Hazzard, (LKDSB)

Everyone, within the LKDSB and beyond (community partners, other school districts), is able to take part in these learning opportunities at no charge.

Math Continuum: Addition and Subtraction - Session 1

The session, Math Continuum: Addition and Subtraction - Session 1, was presented online on Tuesday, November 5th.  This online session was presented by Heather Wark (Lakehead University), Samantha VanHooft, and Alicia Schenck (LKDSB Instructional Coaches).  

The continua referenced are:

- Addition and Subtraction Continuum by Dr. Alex Lawson, Lakehead University

Children should learn their number facts. However, they would benefit from learning these facts by using an increasingly sophisticated series of strategies rather than by jumping directly to memorization.
- (Lawson, 2016, p. 4)

Strategies help students find an answer even if they forget what was memorized. Discussing math fact strategies focuses attention on number sense, operations, patterns, properties, and other critical number concepts.
- (O’Connell & SanGiovanni, 2011, p. 5)

Strategies Include:
- Counting 3x
- Counting on/back
- Counting on from larger #

- Direct modelling vs. Tracking  

Join us for the next sessions that will dig into the strategies:

Thursday, November 7  3:45	Multiplication & Division 2 Online location: https://zoom.us/j/762357173
Tuesday, November 12 3:45	Addition & Subtraction 2 Online location:  https://zoom.us/j/323581620
Thursday, November 14 3:45	Multiplication & Division 3 Online location:  https://zoom.us/j/308551586
Tuesday, November 19 3:45	Addition & Subtraction 3 Online location:  https://zoom.us/j/522244692

Where to Next: Moving from "Counting 3 Times" to "Counting On"

Student Work Sample Video: Where to Next For This Student?

Strategy Being Used: Counting Three Times

Counting Three Times - Explanation Video

More 'Counting Three Times' info in the blog post.

In the student work video, the student created a model to represent a balanced equation. When she composed each side of the balanced equation she counted each part individually and then recounted all cubes, starting at one, to find the total. This is called counting three times.

She modelled both numbers in the equation using cubes. She counted out 3 black cubes to represent the 3, and 6 yellow cubes to represent 6.

Where To Next: Consider the Continuum from 'What to Look For' by Alex Lawson

Where to Next? Counting On 

Looking at the continuum on page 4 of the What To Look For text by Alex Lawson, we can see that a possible next step should be counting on. This would be a more efficient strategy for the student as she would not have to count one "part" of the equation. A student using this strategy select one of the numbers and would count up from it. For example; start at 3 and count on 6.

'Counting On' - Explanation Video

More 'Counting On' info in the blog post.

Activities to Get You There:

When developing questions to support your students using the strategy of counting on keep one of the numbers small, to encourage success. A great activity to get started with reinforcing counting on is Dots and Numbers Dice, found on page 163 of the What To Look For text. Other activities include Real Counting On, Hide the Counters, Missing Part Cards, Piggy Bank Wars, Riddles with Tiles, Salute and Snakes and Ladders

Math Strategy: What is 'Counting 3 Times'?

What is ‘Counting 3 Times’?:

Math Strategy: when a child is asked to add two sets of numbers, they count the first set, count the second set. Finally, they put the two sets together and count again from one.

Math strand: Number Sense and Numeration


English video:



French version:



Overview:

Counting 3 (compter 3 fois)times is a strategy students use who do not have conservation of number (do not understand that a set of objects equals a certain quantity without recounting them again). They do not trust their count.


Where To Next:
Counting three times is early on in the continuum of numeracy and development for addition and subtraction.

Children generally make a natural shift from this strategy to a more efficient one. If you are seeing a student who is ‘counting 3 times’, their next step is to ‘count on’ from one of the quantities (compter à partir d’un nombre).

Activities that promote ‘counting on’ can be found in the texts, “What to Look For” by Alex Lawson, page 162 and “Number Talks” by Sherry Parrish (pages 98-106). Also check out la Guide d’enseignement efficace des mathématiques, de la maternelle à la 3e année – Numération et sens du nombre page 95 (http://www.atelier.on.ca/edu/resources/guides/GEE_math_M_3_NSN.pdf)

The games from “What to Look For” by Alex Lawson are also available in French through the eText!

Share your classroom experiences with Counting 3 Times with us on Instagram and Twitter at @LKelempro #EngageLK!