Presentatie titel

Rotterdam, 00 januari 2007

Measurement education in the lower grades of primary school

Windhoek, October 2010

Introduction

Start of the cooperation: 2008

Introduction

2010‘Working together for excellence in mathematics education in Namibia and Rotterdam’

Windhoek College of EducationUniversity of Namibia

Hermann Gmeiner Primary SchoolElim primarySuiderhof Primary School…………

Rotterdam University, School of Education

Seminar ‘Measurement education in the lower grades of primary school’

The learning-teaching trajectory for measurement in the lower grades

The goal of measurement education in the lower grades

Organization of measurement education

Conceptually based learning activities

Before we start…a few questions

about measurement…

The heigth of a grown-up male giraf is at mostabout …

5,2 meter 7,2 meter 9,2 meter

The surface of thecricketfield is about …

1000 m2 8500 m2 16000 m2

The capacity of thiscoffee cup is about …

100 ml 200 ml 300 ml

The mass of a slice ofbread is about …

11 gr 22 gr 33 gr

The mass of a grown-up dikdik is about …

4 kg 7 kg 10 kg

Right or wrong?

Namibia is about 20 times larger than Holland Right Wrong

Holland has 20 times as many inhabitants asNamibia

Right Wrong

The learning-teaching trajectory for measurement in the lower grades

The starting point

1 Measuring through comparing

Measuring through comparing in a daily life situation

Ernie and Bert share licorice candy

2 Measuring through ordering

3 Measuring through composing

4 Measuring through pacing off

5 Measurement through reading off

construction convention instrument

Length footmeter 1 meter tape measure,ruler

Mass/Weigth balance 1 kilogram scale

Capacity/Volume

cups-measuring jug 1 liter measuring cup

When you have a concept of measuring you can understand the conventions of measurement:

mm, meter - gram, kg – ml, liter

Collect your own reference measurements of meter, kilogram and liter

Concept of measuring

Apply and understand

1. Comparing2. Ordering 3. Composing4. Pacing off5. Reading off

Summary

comparing ordering composing pacing off reading off

length Guess how much I love you

The grounchy ladybug

Do you want to be my friend Inch by inch

mm,cm, dm, M

weigth g, hg, KG

volume ml, cl, dl, L

The goal of measurement education in the lower grades

Learners develop a sense for measuring by:

Developing awareness of the situations in which measuring can be used as an approach,

Learning how to approach situations in every day life quantitively,

Developing an appropriate measurement language,

Determining which measurement is appropriate in which situation.

Summary of the goals of measurement education in the NIED program

length mass/weigth

capacity/volume

Grade 1Measurement languagepictograms

comparingordeningpacing off

comparingordeningcomposing

comparingordeningpacing off

Grade 2Measurement languagePictograms0 - 99

reading offcm

reading offkg

reading off liter

Grade 3Everyday application0 - 499

cm, m gram, kg ml, liter

Grade 4Everyday applicationPictograms and bars0 - 999

mm, cm, m, km gram, kg ml, liter

Organization measurement lessons

Points to discuss:

Which materials are needed?

To perform the measuring activities with the entire class?

Working in groups?

Different tasks?

In what way do the children write down the results of their measurements?

What should children do when they finish their measurements early?

How do you organize a nice discussion about strategies, discoveries, learning contents?

‘What I hear I forget, what I see I remember, what I do I understand.’

One measurement activity, actually carried out and collectively discussed, can induce more than ten measuring problems on paper!

How long is the table?

Workshop:Conceptually based learning activities

Measurement passport

Designing storybook based measurement activities

Measurement imagebook, imageposter

Practicum teaching-learning trajectory length, area surface, mass/weigth and capacity/volume