Play with chess resources in order to Play with chess resources in order to improve your improve your MathsMaths abilitiesabilities. .

Teaching Maths

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Doctoral thesis by Dr. Joaquín Fernández Amigo

London, 6th- 7th December 2014

Presented by Leontxo García

Teaching Maths through Chess Activities

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Learning by Learning by playing, playing,

playing by learning.playing by learning.

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playing by learning.playing by learning.

� Some evidences related to chess and education.

1. Numerical and verbal skills. (Frank, 1974).

2. Memory, imagination and creativity (Ferguson, 1985).

3. Rating scales in Maths and Science (Langen, 1992).

4. Problem solving skills (Langen, 1992).

5. Behaviour (Rodríguez, 1996).

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Some evidences related to chess and educationSome evidences related to chess and education

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6. Maths school performance (Rodríguez, 1996).

7. Emotional (Aciego, García Afonso y Betancort, 2012) intelligence(García Garrido, 2001)

� Successes obtained thanks to chess reside in exceptional visualmemory, combinational analysis, calculus speed, concentration andlogical thinking.

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Numbers and operations� Concepts construction:

■ Naturals numbers , to 1000.■Operations: Addition, subtraction,

multiplication (experimental) ■Mental calculation: results estimation.

MeasureMeasure� Magnitude identification: length... � Experimental work.

AboutAbout mathematicalmathematical curriculumcurriculum

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■Mental calculation: results estimation.

GeometryGeometry� Observation of phenomena in their environment .� Realization and interpretation of data table, bar

charts and line diagrams.� Manipulative way.

Processing of information, Processing of information, chance and probabilitychance and probability

� Comprehension and application of chance basic processes .

� Realization and interpretation of data table, barcharts and line diagrams.

� Manipulative way..

� Advantages� Improvement of attitude towards Maths.

� Development of creativity.

� Enables problem solving strategies.

� Makes use of error as a source of diagnosis.

� Disadvantages

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� Disadvantages� Organization problems: spaces, noise…

� Games shortage: not enough for everyone.

� Teacher’s lack of knowledge.

� Pressure from curricular programs.

� Parents, workmates, inspection incomprehension.

DadosChess dice

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CHARACTERISTICS

15 mm thick.

Wood.

A pair of dice: 1st. chess-piece shape. 2nd. Value of chess pieces. Expressed in data table.

DESIGNED TO...

� Work on logical reasoning.

� Add up values and work on dozens.

� Practice calculation.

Tablero (Juego del caballo)

CHARACTERISTICS

18 cm thick.

Laminated cardboard.

4 plastic counters (green, blue, yellow and red) 2cm diameter.

1 dice 20 mm thick with chess knight, chess

Chess knight game

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1 dice 20 mm thick with chess knight, chess pawn and chess castle shapes.

DESIGNED TO...

� Respect rules

� Identify units, tens and hundreds.

� Sum up values

Pulsar aquí

Cartas de la baraja

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2

1

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Chess cards

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12

12

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9

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< = >

CHARACTERISTICS

98 x 57 mm

Laminated

12 cards for every piece

3 cards: < = >

DESIGNED TO...

� Respect rules

� Use < = >

� Mental addition and subtraction

� Compare values

Dominó

CHARACTERISTICS

98 x 57 mm.

Laminated.

Total: 31 counters.

6 counters for every piece except for the

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Chess domino

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6 counters for every piece except for the king.

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DESIGNED TO...

� Mental arithmetic (addition).

� Comparing numerical and figurative values.

� Respect rules of the game.

Exágono

CHARACTERISTICS

Chess hexagon

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CHARACTERISTICSSpinning top made of wood 3cm high 5 cm diameter.

Hexagon 9 cm diameter.

Every sector occupied by a chess piece.

DESIGNED TO...� Sum up

� Quantities comparison and ordinance

� Collection of data in this table

La diana del ajedrez

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30

100

CHARACTERISTICS:29 cm diameter

Adhesive

Adhesive darts 9’5 cm length

Chess dards

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10

30

50

50 30 30 100 10

DESIGNED TO...

� Addition.

� Subtraction

� Order of quantities and length units

� Results are gathered in these tables.

Adhesive balls 40 mm diameter

Sudochesskus

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- Consequences:

� Increase in numerical calculation and logical reasoning performance

� Methodological improvement in Maths teaching.

� Users’ satisfaction.

- Others:

Conclusions about its application

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� Didactic material acceptance.

� Balance between individual and collective.

� Good for team working skills and social cohesion.

� Pupils: curious, happy, motivated; inquiring and enthusiastic.

� Good disposition to implement chess at school.

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… it allows making cross-curricular approaches…

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…promotes logical reasoning…

Contact

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Contact