https://padlet.com/smcdowell14/65q86zcy78kz9uzd Describe three ways in which you can see the assigned approaches to teaching working well in your mathematics classroom. en-us 2022-05-12 14:22:43 UTC 2022-05-18 16:16:27 UTC hello@padlet.com https://padlet.net/icons/png/2797.png smcdowell14 https://padlet.com/smcdowell14/65q86zcy78kz9uzd/wish/2183329391 Inquiry learning is basically presenting students with a scenario and letting students experiment in their own way to get at the root of a problem.  For this scenario lets do radioactive decay.  Students can search the internet for a radioactive substance with a starting amount of say 100g.  Students are asked to create a model to predict future values of the amount remaining.  This allows students several options.  Students could write down the first few terms and then model the equation followed by graphing.  Students could use geometric progression and use a formula.  Another way would be create a table and use interpolation between table entries.

]]> 2022-05-13 18:58:21 UTC https://padlet.com/smcdowell14/65q86zcy78kz9uzd/wish/2183329391 paullin3 https://padlet.com/smcdowell14/65q86zcy78kz9uzd/wish/2184889834 The following are the three ways that I think (and am trying to) incorporate the assigned approaches. 

1. Connections: In math class, we could try to let the students connect the concepts/things that we are learning to what we have learned so far. For example, while we are learning complex numbers, in addition to mentioning the extended number system (i.e. squared root of -1), we could also emphasis the beauty and elegance of the Euler’s identity. It connects the most important five numbers in math. 

2. Historical context: Discuss with the class the historical context of this equation. Who was Leonhard Euler? How did imaginary numbers evolve? Why do we name formulas after certain people? Should we? Let students share with each other their opinions/thoughts. 

3. Mathematic structures: After the first two steps, we could share with students our point of view/perspective. For example, I think the beauty of Euler’s identity is that it connects the transcendental number, algebraic number and imaginary number. That said, it contains the most common entities encountered in math. Apart from this, it also connects three of the common operations: multiplication, addition and exponentiation. In math class, we usually emphasize that exponential function is positive for all real number. But, we see from this identity that if the exponent involves imaginary numbers then it becomes negative as in this case the value is -1. ]]> 2022-05-16 00:34:35 UTC https://padlet.com/smcdowell14/65q86zcy78kz9uzd/wish/2184889834