HKMEC 2025 Jun 13

Arthur Lee, Jun 12, 2025

HKMEC 2025

Table of Contents

  1. Conference
    1. Presentation
  2. TI-92 and T-cubed
    1. TI-92
    2. TTT summer institute
  3. dragging
    1. angles in a triangle (up and down)
  4. multiple representations
    1. maximum cone
    2. spreadsheets
    3. Maximum Area of a Rectangle if Fixed Perimeter
    4. Lifeguard - Swimmer
  5. TPACK
    1. Migrating from PCK to TPACK
    2. animation TPACK NIESS model paper NEW 08122022

1.

Conference

  • 1. Presentation

1.1.

Presentation

– Arthur Lee

2.

TI-92 and T-cubed

  • 1. TI-92
  • 2. TTT summer institute

2.1.

TI-92

– Arthur Lee

2.2.

–

3.

dragging

  • 1. angles in a triangle (up and down)

3.1.

angles in a triangle (up and down)

By moving point A, how can you make angle A smaller? What will happen to the other two angles then?[br][br]When using the arrow keys in the keyboard (click A and press the keys), you may restrict the movement of A in 4 directions. In particular, you can keep pressing a key to move A upwards, even when it goes outside the window. How will the size of angle A change? Can you estimate its size even when the vertex A is hidden above the viewing window? (Use the check box the hide or show its measurement when trying this estimation.) [br][br]You may also hide all angles during this exploration and estimation.
This is a task in a collection about [url=https://ggbm.at/nh3y2vQf]angles of triangle[/url].
Here is a quick demo.
– Arthur Lee

4.

multiple representations

  • 1. maximum cone
  • 2. spreadsheets
  • 3. Maximum Area of a Rectangle if Fixed Perimeter
  • 4. Lifeguard - Swimmer

4.1.

maximum cone

Drag B to change the angle of the sector. Observe the change in the volume of the cone.
– Arthur Lee

4.2.

–

4.3.

–

4.4.

–

5.

TPACK

  • 1. Migrating from PCK to TPACK
  • 2. animation TPACK NIESS model paper NEW 08122022

5.1.

Migrating from PCK to TPACK

More information:[url] www.tpack.org[/url] Beautifully structured article: [url]http://www.citejournal.org/vol9/iss1/mathematics/article1.cfm[/url]
– rokas tamosiunas

5.2.

–

Information