Singapore Math and Montessori Math: Parallels and Contrasts, Slides of Childhood Development

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LESSON 3:

MATH PROGRAMS

- SINGAPORE

- MONTESSORI

S I N G A P O R E M AT H A N D M O N T E SS O R I M AT H : PA R A L L E L S A N D C O N T R A S T S

H I S T O RY: S I N G A P O R E M AT H

I N I T I A L C U R R I C U LU M :

• (^) “ P R I M A RY M AT H E M AT I C S ”
• (^) C R E AT E D I N 1 9 8 1
• (^) D E V E LO P E D BY C D I S ( C U R R I C U LU M

D E V E LO P M E N T I N S T I T U T E O F

S I N G A P O R E )

R E V I S I O N S

• (^) 1 9 9 2 : S T R O N G E R P R O B L E M -

S O LV I N G F O C U S ( 2 N D E D. )

• (^) 1 9 9 9 : R E D U C E D C O N T E N T ( 3 R D

E D. )

• (^) 2 0 0 1 & F O RWA R D : A DA P T E D F O R

U. S.

H IST ORY: MO NT E SSO RI M ATH

• (^) B ASE D O N T H E WO RK OF D R. M ARIA M ONT E SS ORI (18 70 – 195 2) EAR LY R OO T S :
• (^) ITALY , 19 07 (H OL IS TIC , E XP E RIE N TIAL L E AR NING)
• (^) 196 0 – AME RIC AN M O NTE SSO RI SOC IE T Y

C O N T R A S T S : A P P R OA C H

( G E N E R A L )

S I N G A P O R E

• Q U I C K E R T RA N S I T I O N T O A B S T RA C T

• A S S E S S M E N T S F O C U S M O R E O N A B I L I T Y

T O E X T E N D C O N C E P T S

• L E S S D I V E R S E G R O U P S

• S Y S T E M AT I C ; G O V E R N M E N T D E F I N E D

• M O R E F O R M A L A N D T RA D I T I O N A L

M O N T E SS O R I

• LO N G E R F O C U S O N C O N C R E T E •

M A S T E RY-B A S E D

• A B I L I T Y T O E X T E N D I S I M P L I E D

• M U LT I - A G E G R O U P I N G

• H I G H LY D I V E R S E ( A B I L I T Y , E T H N I C I T Y ,

E TC. )

• M O R E H O L I S T I C A N D E X P E R I E N T I A L

PAR ALL EL S: C ON TEN T/ MET H O D S EMPH A SIS O N N U MB ER SEN SE EMPH A SIS O N P LAC E VALU E PLAC E VALU E S T R IP S ( BO T H ) N U MB ER D I SKS (SI N GAP OR E) AN D STAMP G AME (MO N T ESS OR I )

• (^) S I M I L A R L E V E L S O F A BS T RA C T I O N

( D I F F E R E N T VA LU E S R E P R E S E N T E D BY

S A M E S I Z E P I E C E S O F D I F F E R E N T

C O LO R S )

MAT H FAC T S ACT I VIT I ES

( E X A M P L E : S U M S T O 1 0 )

• N U M B E R R O D S ( M O N T E S S O R I )
• C A R D S ( S I N G A P O R E )

CO N TR ASTS: CO N TEN T/ME TH OD S SIN G APO R E

• (^) C O U N T I N G N U M B E R S E N S E
• (^) S O M E A BS T RA C T I O N I N I N I T I A L M AT H

FA C T S ( PA P E R , C A R D S )

• (^) N U M B E R BO N D S
• (^) P L A C E VA LU E BY F O C U S O N

PATT E R N S

• (^) N U M B E R S E N S E F O R L A R G E

N U M B E R S B A S E D O N P L A C E VA LU E

• (^) N E W T O P I C S O FT E N I N T R O D U C E D

W I T H M I X O F C O N C R E T E A N D

A BS T RA C T ; A P P L I C AT I O N S A N D

E XT E N S I O N S A R E I N T E G RAT E D

CO N T R A S T S : C O N T E N T / ME T H O DS MO N T E SS O RI

• (^) C O N C R E T E N U M B E R S E N S E ( N U M B E R

R O D S )

• (^) M AT H FA C T S : I N I T I A L LY M O R E C O N C R E T E
• (^) A D D I T I O N C H A RT S
• (^) P H Y S I C A L LY B U I L D
• (^) P R O G R E S S T O F I N G E R C H A RT S
• (^) E X P LO R E R E L AT I O N S H I P
• (^) P L A C E VA LU E : E X P L I C I T T RA N S I T I O N

F R O M C O N C R E T E T O A B S T RA C T

• (^) C O N C R E T E N U M B E R S E N S E W I T H L I N E A R
• (^) E A C H N E W T O P I C I N T R O D U C E D R E T U R N S

T O V E RY C O N C R E T E M A N I P U L AT I V E

O B J E C T S ; A B S T RA C T I O N C O M E S L AT E R

E X A M P L E S : M U LT I P L I C AT I O N F RA C T I O N S