Zusammenfassung der Ressource
Mathematics Didactics
- Developing understanding
- Problem solving
- Advantages
Anmerkungen:
- Seven advantages:
1. Places the focus of students attention on ideas and sense making.
2.Develops the belief in students that they are capable of doing maths and that math makes sense
3. Provides ongoing assessment data that can be used to make instructional decisions, help learners suceed, and inform parents.
4. Develops mathematical power.
5.Allows an entry point for a wide range of learners.
6. Engages learnrs so that there are fewer disipline problems
7. It's fun
- Developing problem solvers
Anmerkungen:
- Teacher develops problem solvers by:
1. Create a maths environment
2. Pose worthwhile Math tasks
3. Use models and calculators
4. Use writing and discourse as thinking tools
5. Encourage cooperative learning groups
6. Require justification of learner responses
7. Listen actively
- Problem solving lesson
- Before phase
- Teacher
Anmerkungen:
- Activate prior knowledge
Be sure problem is understood
Establish expectations
- Student
Anmerkungen:
- Get ready - connect to personal experiences - understand the problem
- During phase
- Teacher
Anmerkungen:
- Lets go
Notice students math thinking
provide appropriate support
Provide worthwhile extensions
- Student
Anmerkungen:
- After phase
- Teacher
Anmerkungen:
- Promote math community
listen actively without evaluation
summarise main ideas and iD future problems
- Students
Anmerkungen:
- Small groups
Anmerkungen:
- builds a math community
learners collectively establish new ideas from a collection of existing ideas in the group
encourages class discussion
- Understanding
Anmerkungen:
- Knowing an idea - know about something but cannot really expand on or use it
Understanding an idea - when an idea is connected to existing ideas
Conceptual knowledge - knowledge that consists of logical relationships constructed internally
Procedural knowledge - knowledge of the rules and procedures that one uses in carrying out routine tasks
To learn maths with understanding is the measure of the quantity and quality of connections an idea has with existing ideas.
- Constructivism
Anmerkungen:
- Students are not blank slates but creators of own learning
Through reflective thought people modify existing ideas
assimilate
accommodate
- Where student are
Anmerkungen:
- Teaching should begin with the ideas children already have, the ideas they will use to create new ones
- Metacognition
Anmerkungen:
- conscious monitoring and regulation of own thought processes
- Assessment
Anmerkungen:
- a continuous planned process
gathering info about the performance of learners
against Assessment Standards of LO's
- Characteristics
Anmerkungen:
- transparent and focused
integrated into learning and teaching
based on predetermined standards
various methods and contexts
valid, reliable, fair, student-paced and flexible
- Pruposes
Anmerkungen:
- prior learning
diagnostic
formative
summative
systematic
- continuous assessment
Anmerkungen:
- over a period of time and ongoing
supports growth an development
provides feedback
allows for integrated
strategies that cater for learner needs
allows for summative assessment
- Strategies
- Observation
- Journals
- Journals
- tests
- portfolios
- self-assessment