SZ1 - Learning Mathematics

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SZ1 - Learning Mathematics by Mind Map: SZ1 - Learning Mathematics

1. Critical and Inventive Thinking

1.1. Sound Reasoning

1.2. Creativity, generating different possibilities to find the area

1.3. Metacognition

2. Key Concepts (Topic)

2.1. Area

2.1.1. Space of a bounded figure

2.1.2. 2D

2.1.3. Number of units square in an enclosed space

2.1.4. Surface

2.1.5. Bounded by lines, boundaries

2.1.6. Formula

2.1.7. Number of rows and columns of squares

2.1.8. Spatial Awareness

2.2. Relationship betwen area and dimensions,

2.2.1. Measurement, length, breadth

2.2.2. Multiplication/Division

2.3. Composite figures

2.3.1. Made up of rectangles and squares

2.3.2. Misconceptions/Challenges

2.3.2.1. Assumptions of the lengths due to missing dimensions

2.3.3. Efficient (shortest, easiest) method to find the area

2.3.4. Able to partition the figures into the basic shapes

3. 21st CC Skills

3.1. Communication, Collaboration & Information

3.1.1. Communication of ideas, clearly, coherently

3.1.2. Management of information

3.1.3. Effective Collaboration

4. Processes

4.1. Reasoning, communication & connections

4.2. Thinking skills & heuristics

4.3. Applications & modelling

5. Content Outcomes

5.1. Finding one dimension of a rectangle given the other dimension and its area

5.2. Finding the length of one side of a square given its area

5.3. Finding the area of figures made up of rectangles and squares

6. Skills

6.1. Numerical calculation

6.2. Spatial visualisation

6.3. Measurement

6.4. Use of mathematical tools

7. Metacognition

7.1. Monitoring of one's own thinking

7.2. Self-regulation of learning

8. General Concepts

8.1. Numerical

8.2. Geometric

8.3. Analytical

9. Technological Tools

9.1. Discussion (threaded)

9.1.1. Social Learning Wall

9.1.1.1. Explanation and sharing of ideas

9.1.2. Edmodo

9.2. Sharing of Ideas

9.2.1. Padlet

9.2.1.1. Collection of data/responses, making thinking visible, posting of questions, facilitate learning, collaboration, AfL, 2 way feedback, monitor & real time feedback from teacher, checking for understanding

9.2.2. Google Form

9.2.3. Google Doc

9.2.4. Linoit

9.3. Formative Assessment

9.3.1. Kahoot

9.3.1.1. check for quick understanding

9.3.2. Interactive whiteboard

9.4. Content Related

9.4.1. Geoboard

9.4.1.1. Visualisation of shapes

9.4.2. Geometer's Sketchpad

9.4.3. National Library of Virtual Manipulative

9.5. Students' artefacts

9.5.1. Screencast

9.5.1.1. Communication of ideas

9.5.2. Blogs

9.5.2.1. Journal

9.6. Presentation

9.6.1. Google Slides

9.6.1.1. Demonstrate their learning, collaboration, peer feedback, animation

9.6.2. Interactive whiteboard

9.7. Flipped classroom

9.7.1. Powtoon

9.7.2. Videoscribe