🎯Learning Objectives學習目標

  • Through various learning activities, discover and construct knowledge; further improve the ability to inquire, communicate, reason, and conceptualise mathematical concepts.（通過各種學習活動，發現和建構知識；進一步提高探究、交流、推理和概念化數學概念的能力）

📋Progress進度

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Shape Investigation

Explore and classify shapes

Pattern Investigation

Discover and extend patterns

Quantity Investigation

Compare and contrast amounts

Measurement Investigation

Explore non-standard units

Design Your Own Investigation

Create a math investigation

Shape Detectives 形狀偵探

Explore shapes in your surroundings and discover their properties.

Question 問題

What shapes can you find around you? How are they different?

Hints 提示

  • 1Look for circles, squares, triangles, and rectangles.
  • 2Count the number of sides and corners.
  • 3Compare the size of different shapes.

Materials 材料

  • •Shape cards 形狀卡
  • •Magnifying glass 放大鏡
  • •Paper and pencils 紙和鉛筆

Steps 步驟

  1. 1
    Find 3 different shapes around the classroom.
  2. 2
    Draw each shape you find.
  3. 3
    Count the sides and corners of each shape.
  4. 4
    Compare your shapes with a friend.

Mathematical Discovery數學發現

Question 問題

What makes a square different from a rectangle?

🔍Create Your Own Investigation創建你自己的探究

Design and conduct your own mathematical investigation:設計並進行你自己的數學探究：

1
Choose a topic選擇話題
2
Ask a question提出問題
3
Investigate!開始探究！

Investigation Ideas 探究想法

How many different ways can you make 10?
What shapes can you find in your school?
Which container holds the most water?
Can you find patterns in a calendar?

👨‍🏫Teacher's Corner教師角落

Teaching Tips 教學提示

  • 1
    Allow ample time for students to explore and investigate
  • 2
    Use open-ended questions to prompt thinking
  • 3
    Encourage students to explain their reasoning
  • 4
    Create small groups for collaborative investigation
  • 5
    Validate different approaches and solutions
  • 6
    Maintain a record of discoveries on a class chart

Assessment Strategies 評估策略

  • 1
    Observe students during investigation activities
  • 2
    Ask students to present and explain their findings
  • 3
    Have students create a visual representation of their learning
  • 4
    Use exit tickets with reflection questions
  • 5
    Create a portfolio of student investigations

Inquiry Skills Development 探究技能發展

Through these activities, students develop key inquiry skills:

Observing 觀察

Noticing details and patterns

Questioning 提問

Asking what, how, and why

Predicting 預測

Making informed guesses

Investigating 調查

Gathering and recording data

Analyzing 分析

Finding patterns and relationships

Communicating 交流

Sharing discoveries and reasoning