1. How is Mathematical Teaching Changing?
Where are you?
Decrease emphasis on: Increased emphasis on:
1. Treating mathematics as Connecting mathematical
isolated concepts and facts concepts and applications
2. Rote practice, memorization Developing mathematical
and symbol manipulation understanding through the
development of reasoning and
analytical skills, making
mathematics more meaningful to
students
3. Word problems as problem Solving real-life problems in which
solving the content is relative to the
student
4. Instruction focused on what Instruction that builds on what
students do not know students know and need to learn
5. One method, one answer A variety of strategies for possible
multiple solutions
6. The teacher as the sole Students being encouraged to
authority for providing the speculate and pursue ideas
right answers
7. Finding answers Explaining processes in a clear
and logical way and reflecting
upon results
8. teachers working in isolation Teachers working in teams with
colleagues from their own and
other subject groups
9. A textbook-driven curriculum Multiple sources and resources
for learning

2. 10. The use of exercise sheets Students investigating,
questioning, discussing, and
justifying or proving
11. A “chalk and talk” lesson Practical activities, including
format groups or collaborative tasks
according to the activity
12. Final examinations Assessment as an integral part of
instruction (formative
assessments)
13. Short-answer, multiple- A broad range of assessment
choice assessment strategies, including tests where
students have to show their
reasoning