Counting

Sociocultural

Zone of Proximal Development

More Knowledgeable Other

75 cm

73 cm

75 ml

73 ml

Knowing mathematics

Calculation processes

Knowledge of rules and procedures that

learners and teachers use in performing routine mathematical tasks

Problem solving processes

a)    72 cm3

27 cm

12ml

24 cm3

9 99 999

1 00 000

1 11 111

1 11 000

ml

2 or more of the above are true.

cm^3

Meters

you must have a special brain to be able to do mathematics.

to introduce candidate teachers to different conceptions of what it means to do, understand, and learn mathematics as well as theoretical positions of what it means to teach mathematics.

to teach candidate teachers that mathematics requires a good memory.

to ensure that candidate mathematics teachers memorise facts, rules, formulas, and procedures.

The teacher explains the

correct way to do the homework

The teacher facilitates

classroom discussions

The teacher summarises

the main ideas of the lesson

The teacher allows

students to discuss the main ideas of the lesson

Grade 5

Grade 6

Grade 4

Grade 7

Second, minutes and hours

Minutes

Weeks, seconds and hours

Minutes or hours only