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
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