Squares Family - A Teachable Agent Game

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The Squares Family is a game- and story based microworld 1 for understanding arithmetic concepts, without describing mathematics in terms of digits and symbols. Instead we’ve constructed a microworld of arithmetic as a world of play grounds, colored squares, square boxes, and a family with lots of children who loves to play various games with their squares and square boxes on the playground. The reason is to allow for children to easier relate to, talk about and see arithmetic objects and learn how they behave. The graphical arithmetic microworld has a direct translation to “ordinary” mathematics, that is to the language of digits and symbols, so that everything that can be done in the microworld is mathematically valid. http://rutigafamiljen.se

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A Teachable Agent Game for Elementary School Mathematics promoting Causal Reasoning and Choice : 

A Teachable Agent Game for Elementary School Mathematics promoting Causal Reasoning and Choice Lena Pareto University West, Sweden

The Teachable Agent Math Game: 

The Teachable Agent Math Game 2–7 3+16 12 ⁄ 4 5·4 4+5-12+(-3) Graphical model Arithmetic Teachable Agents Games User User plays Agent plays User teaches agent to play

Graphical Arithmetic Microworld: 

Graphical Arithmetic Microworld Graphical numbers 446 Symbolic Quantity Graphical Graphical: quantitative view

Game play: reason, anticipate result, make good choice: 

Game play: reason, anticipate result, make good choice Video

Teach by guiding: 3 modes: 

Teach by guiding: 3 modes Child Agent Show answer question Watch Ask question Learn Yes/no answer question Try Ask question Learn Watch Play

Knowledge model: 

Knowledge model game idea graphical model behavior score rules strategic knowledge (own cards only) strategic knowledge (opponents cards also)

Slide 7: 

1. Game idea question

Slide 8: 

2. Graphic model question

Slide 9: 

3. Score rule question

Slide 10: 

4. Strategic question own hand

Slide 11: 

5. Strategic question own+opponent’s hand

Agent behavior adaptation: 

Agent behavior adaptation Agent asks questions according to User’s game playing behavior Agent’s knowledge level The specific game situation and relates child’s choice with agent’s choice Agent knowledge level User playing level Question level Zone of proximal development

Acquired mathematical knowledge: 

Acquired mathematical knowledge Playing well require arithmetic understanding (to judge cards) and causal reasoning (to make good choices) Video

Slide 14: 

Thank you for your attention! Questions? contact: lena.pareto@hv.se