´Ã.Ë·Ñ¡ҭ¨¹ì ·ÇÕÇѲ¹¡ØÅ ¤³ÐÇÔ·ÂÒÈÒʵÃì.

Teaching for Creative Thinking : 

Teaching for Creative Thinking Hathaikarn Wattanataweekul October 28, 2008 Department of Mathematics Statistics and Computer Facultry of Science Ubonratchathani University

Systems of Linear Equations and Matrices : 

Systems of Linear Equations and Matrices Objective: Students are able to apply matrices in solving linear systems and the related problems.

This is the problem I would like my students to solve in this week. : 

This is the problem I would like my students to solve in this week. Question: In a lake, we have three species of fish and three types of food for feeding them that is Food 1, 25,000 g, Food 2, 20,000 g, Food 3, 55,000 g. In each week, each fish of species 1 consumes 1 g of food 1, 1 g of food 2, 2 g of food 3. Each fish of species 2 consumes 3 g of food 1, 4 g of food 2, 5 g of food 3. Each fish of species 3 consumes 2 g of food 1, 1 g of food 2, 5 g of food 3.how many fish of each species can eat all food in one week?

We rewrite to the following system : 

We rewrite to the following system where x1:= the numbers of fish of species 1 x2:= the numbers of fish of species 2 x3:= the numbers of fish of species 3 …(1) X1 + 3X2 + 2X3 = 25,000 X1 + 4X2 + X3 = 20,000 2X1 + 5X2 + 5X3 = 55,000

Slide 5: 

Task 1: Students study the resources about this topic and answer the following questions. 1. Write the system (1) in the form augmented matrix.2. Reduce the augmented matrix of (1) into reduced row echelon form.3. Find x1, x2, and x3.4. Submit task 1.

Slide 6: 

Task 2: Students read three activities that have been submitted by you peers. Part A, Give written constructive feedback to each one. Criteria; • 50-100 words • Indicate in your feedback if peer has meet criteria and if not why. Part B, Asses the effort each peer has given in doing their task.

Slide 7: 

Task 3: Review the feedback that three of your peers have provided you. Assess the effort each peer has given in providing your feedback.

Slide 8: 

Task 4: As a team, discuss task 1 and re-submit as team submission.

Slide 9: 

Instruction-time: The instructor will can now use time to: • Go over strengths and weaknesses of team submissions. • Ask teams to present their team submission to class. • Class will engage by asking for clarification of meaning.

Conclusion : 

Conclusion When I used to lecture, my students would sit staring at me, saying nothing. Now, they come to class with questions. My students say that they like T5, for they now know that what they don’t know and work towards finding answers.

Thank you. : 

Thank you.