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Case studies of teacher development on a mathematical
1.
Case studies of
teacher development on a Mathematical Literacy ACE course
2.
3.
development of
ML curriculum understanding and teaching practice
4.
2007-2008
5.
nineteen teachers
6.
four modules
7.
mathematical content presented
within real-life contexts
8.
9.
10.
2 Communities of
practice
11.
Meaning, practice, community
and identity
12.
Elements of learning
are ‘deeply interconnected and mutually defining’ (Wenger, 1998)
13.
Meaning - ACE
teachers’ understanding and experience of the new ML curriculum as meaningful
14.
15.
Contextual frames
- Steen (2001), Skovsmose (1992)
16.
Mathematical frame
- Pugalee (1999)
17.
ML curriculum documents
- a hybrid of the contextual and mathematical orientations
18.
19.
Assessment in ML
needs to reflect interplay between content and context (DoE, 2008, p7)
20.
Reasoning and reflection
questions imply higher-order cognitive skills (DoE, 2008, p27-28)
21.
Moral literacy
(Tuana, 2007, p2)
22.
Ethics sensitivity
23.
Ethical reasoning skills
24.
25.
Data for 2
case studies selected at late stage of data collection
26.
Central data-collection tool
based on contextual data on the rate of smoking amongst adults in different countries
27.
First session
- informally plan a lesson using data
28.
9 months later
- design a lesson, worksheet, lesson presentation
29.
Nine data collection
instruments
30.
Written ACE assessment
tasks
31.
Informal written tasks
collected for research purposes
32.
Interviews
33.
34.
35.
Contextual questions
where the mathematics is in service of the context
36.
Dialectical questions
37.
Mathematical questions where
the context is in service of the mathematics
38.
39.
Low-level reflective questions
40.
Require contextual reflection
based on personal opinion or experience
41.
42.
focuses on the
engagement and investigation of context without engaging with the mathematics
43.
44.
To learn the
context and then to use the context to do the mathematics
45.
Context and contents
largely dealt with separately
46.
Spectrum of agendas
expanded to include reference to ethical and moral values discussion
47.
48.
Teachers need to
make a coherent connection between contexts and mathematics required for solving real-life problems
49.
Training with respect
to:
50.
Curriculum implementation
51.
Lesson planning
52.
Lesson presentation
53.
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