DaVinci Kindergarten

DaVinci Kindergarten is a pilot project in which we design, develop and try-out inquiry-based activities for children in the age 4-8. We have worked with children age 4-5 at two kindergartens in Norway. The activities focus on concepts from science, and technology and foster mathematical thinking.

We present some of the activities that have been developped. Contact us if you wish a complete description of the activity.

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1. Show-box– sight lines and mirroring.
2. How big is the panther? – measuring, human-based measuring units e.g. foot, thumb(=duym/inch), span (=fathom), step.
3. How do you get the light on? – electricity, battery, light, lightbulb, lamp, electrical wire, curcuit.
4. What weighs most/least? – experimenting with balance scales and different materials with the same volume and different weight.
5. Discover more about your toys. What kind of materials are they made of? – Categorise, recognise, examine the different materials and discover their characteristics.
6. Bee-bot – programming a robot.

How big is the panther?

Another activity for children age 4-8. This inquiry-based activity involves measuring up a big animal. The children will draw a big animal in its actual size, but the animal is in another room than where the animal must be drawn. Two children are sent to look at the animal and asked to come back and describe the animal. This process is repeated with the question to find out how big the animal is so that it can be drawn on the large sheet of paper.

Concepts
measuring, measuring units, human based measuring units, measuring tools, categorizing, ordering, serializing, relative size, proportionality, counting, member of the ‘cat’ family.

Vocabulary
size, height, width, big-bigger-biggest, large- larger-largest, small- smaller- smallest, thick, order, position, direction, shape, fur, skin, colour, tail, (girth).

Background
The world for young children is primarily three dimensional. Young kids play with three dimensinal toys. A drawing or a picture is a two dimensional representation of objects from the three dimensional world and therefor more difficult to grasp.

Measuring starts with the use of measuring units that are available. People have used measuring units related to their own body to measure length or height over many centuries e.g. foot, fathom/span, thumb/inch.

Show-box and Sight lines

This time we write about inquiry-based science and math activities we tried out in kindergarten, but this is definitely suitable for first and second grade as well. The first activity is about experimenting with sight lines using a show-box.

Concepts: sight lines, mirror, reflection.

Vocabulary: in sight, out of sight, hidden, position, sight line, eye, straight line, corner, behind, in front of, next to, around the bend …

The children worked in groups of three or four children (age 4 and 5) on one show-box. First, the children are presented with an empty show-box with four spy-holes. They are asked to furnish the room and place some dolls/animals using items they have in class. Thereafter we ask them explore what they see and what not and reason about it. We ask them to look through their spy-hole and tell each other what they see. We ask them why they do not see the same items.

There are many questions to ask that require experimenting, thinking and reasoning.
For example:

• Can you place an item so that this can only be seen from one spy-hole?
• Can you position an item that can be viewed from just two, three, or from all the four spy-holes?
• Can you place an item in such a way that it cannot be viewed by anyone?
• Build a half wall and place an item behind the wall. Choose a hole from which you cannot see the item. Now use the mirror so that you can see what is behind the wall.
• One child take a picture though one of the holes while the other turn their back. Show the picture ans ask from which hole it was taken and why they thinks so.

Climate change simulations

On October 4th 2016 the EU has signed the  global Paris Agreement to reduce greenhouse-gas emissions. The agreement sets out a global action plan to put the world on track to avoid dangerous climate change by limiting global warming to well below 2°C.

Climate change and clean energy transition are complex challenges. The simulations of Climate Interactive enable you to simulate the many factors and see the result of policies. It is quite reveling and insightfull to see how much reducation in CO2 emmissions is required to minimize the temperature change to 2 degrees Celcius.

C-Learn, C-Roads and EN-Roads are three simulations from Climate Interactive organization, based on systems dynamics modeling from MIT.

The simulations enable teachers, lecturers and students and people in general to see connections, play out scenarios, and see what works to address the biggest challenges we face: climate change and clean energy.

The simulations enable you to set up and compare many What if ? scenarios. The Climate Interactive website offers tutorial videos on how to use the tools.

• C-Learn is the simple version of C-Roads and available online
• C-Roads is the Climate simulation which has to be downloaded
• EN-Roards is the simulation on Energy transition and climate goals

Target group: policy makers, lecturers, university students.
C-Learn can definitely be used at higher secondary level.

Purchase	Free
Hardware	iPad, PC
Requirements	browser

Note: the downloads give security warnings.

Solubility in water

Water is the most important chemical substance on earth. Water has specific chemical characteristics unlike other substances. One of these characteristics is its solubility.

Students build an understanding of solution concentration by varying amounts of solute,
solvent, and solution. Students can investigate which substance can have the largest concentration (solves best) even if they do not know  the substance. This can be an introduction to a hands-on practical.

The students can observe the amount of mol/L (molecules that can be solved in one litre) and find out what saturated means? What can be observed when the solvent is saturated?

Purchase	Free
Hardware	PC
Requirements	browser

Download practical experiment on Solubility in water for primary school level.

 

Download practical on Solubility with the use of effervescent tablets.

Depending on how used the pupils are to carry out experiments, you can leave out some of the instructions (scaffolding). Purely inquiry-based would be:

• Find out how you can influence the degree of solubility in water using the effervescent tablets and water.

Whereby the pupils have to set up the experiment themselves, record the results, and write a conclusion.

 

See the blogpost Density and Buoyancy for buoyancy in water.

The Moving Man

The applet The Moving Man enables students to experiment and learn about motion, position, velocity and acceleration. The movements of the man are plotted in charts.

• Move the little man back and forth with the mouse and plot his motion.
• Set the position, velocity, and/or acceleration and let the simulation move the man for you.

Learning Goals

• Interpret, predict charts/graphs on position, velocity and acceleration.
• Describe, make sense of and reason about the charts.

If you register at the PHET website as a teacher, you have access to the information for teachers. The website offers examples of worksheets and questions for students at different levels.

Students can make a graph that fits a story, or make a story that fits a chart. At primary school level focus on one chart in the beginning. For example: What is the story behind this chart?

Do not underestimate the complexity of only the first chart. It shows a timeline, the position, negative numbers, and a man who covers a distance.

Purchase	Free
Hardware	PC
Requirements	browser, JAVA

Pattern problems

Pattern problems are a relatively new phenomenon in mathematics education. They can be used both for early algebra in primary school as well as in secondary school. At primary level students reason and come up with a description of how the figure or pattern grows using word formulas. At secondary school level, students can be encouraged to describe the formula for the n^th pattern using symbols for the variables.

Two applets from the Freudenthal Institute make it easy to experiment with pattern problems:
Spotting number problems, if you wish to work with given patters
Spotting numbers, if you wish the students to design their own patterns

Introduce a pattern to the class and ask them to look at it first. Then ask them: How do you see the pattern grow?

For the example below we have used the applet Spotting Numbers and coloured in blue the different views students could have on how the pattern grows.

a pattern growing

views on growth

Thereafter students can explore:

• With how many dots does the figure grow?
• What about the 20^th or 50^th figure?
• How many dots are required?
• How many dots are on the base?
• Can you describe a ‘rule’ for the growth?
• Can you describe a formula for finding the n^th figure?

Information on the applets: Spotting numbers and Spotting number problems.

Purchase	Free
Hardware	PC
Requirements	browser, JAVA

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