Month: November 2017 (Page 2 of 2)

Videos-Evelin Perez-Flores

Part 1.

a) Doodling in Math: Sick Number Games- https://www.youtube.com/watch?v=Yhlv5Aeuo_k

The video discussed about the different types of number games you can create just by simply looking at the different qualities of a number.

b) Fractal Fractions- https://www.youtube.com/watch?v=a5z-OEIfw3s

The video discussed how a simple a number can be simplified into a complex of fractions and still equal to the original value.

c) Hexaflexagons- https://www.youtube.com/watch?v=VIVIegSt81k

The video was about how creating a hexagon out of paper can demonstrate a pattern as you play around with it.

Part 2.

I will focus on the second video. When I first saw the video, I was a little surprised and confused about everything that was going on. Mostly because it was going all too fast. When I saw it the second time, I actually took breaks to fully understand what was going on and I was mind-blown. I couldn’t imagine something so simple can become something so complex. All due to the power of algebra. I learned that anything is possible as long as you follow the rules of algebra and I mean ANYTHING. Two questions come to mind after watching this video. 1: why don’t teachers demonstrate these mind-blowing facts to students? 2: is there a special case when this wouldn’t work? Or will it always work?

Part 3

This video might’ve not had the typical classroom vibe when it comes to teaching mathematics but regardless, this video was teaching mathematics to the viewer. It definitely gets you to see a simple number in a more complex way. This video will get the viewer to start thinking of the endless possibilities a number can have. That’s something I hope to accomplish in my future classrooms, to have students see or approach a problem in their own unique way. One way I can accomplish that is by letting students play around with concepts or by opening their minds to completely new point of views in mathematics.  I wouldn’t want students to follow everything like robots. Similar to the idea in the reading assignment Lockhart’s Lament, that students should have the opportunity to be creative in mathematics.

Group Process Paper – Grading Criteria

Hi everyone,

The group process paper will be worth 35 points towards your Project grade.  I will be filling out the sheet below for each paper submitted.  Please let me know if you have any questions.

Best,
Prof. Reitz

 

Semester Project – Group Process Paper
Grading Criteria

_____ points (3 possible).  Basics/formatting.  Length (1500 words required).  Group members names.  Semester/Date/Course.

_____ points (2 possible).  Puzzle description. Description given in own words, demonstrates understanding of puzzle mechanics.

_____ points (16 possible).  Proof process narrative.

_____ points (4 possible).  Shows progress across various stages of the project.  

_____ points (4 possible).  Includes all participating members of the group.  

_____ points (4 possible).  Includes objective facts (“what we did”) as well as experience (“how it felt, what it was like”).  

_____ points (4 possible).  Tells a story.

_____ points (5 possible).  Conjecture.

_____ points (3 possible).  State your group’s conjecture.

_____ points (2 possible).  Proof or disproof of conjecture. If no proof or disproof was obtained, these points can be earned by clear explanation of proof process in the preceding account.

_____ points (9 possible).  Images (3 points each).  Original or clearly attributed.  Includes caption.  Connection to puzzle/process is evident.  

 

____ points TOTAL (35 possible)

 

 

Videos- Stephanie Cuate

Part 1-                                                                                                                                                                                                              

a).   Visual Multiplication and 48/2(9+3): This video is showing a new way of multiplication by using lines and counting the intersections. It also explains how crucial notation is in math.

 

https://www.youtube.com/watch?v=a-e8fzqv3CE

 

b).   How to Draw a Perfect Circle: This video is about what makes a circle perfect, like for example she mentions about the radius needs to be the same. And how to perfectly

draw one.

 

https://www.youtube.com/watch?v=QncgmzH6yQU

 

c).    Origami Proof of the Pythagorean Theorem: This video explains the Pythagorean theorem by using a piece of paper, folding into different triangles. It explains the concept of the Pythagorean Theorem and why we use it and add it, and why its equal.

 

https://www.youtube.com/watch?v=z6lL83wl31E

 

 

Part 2- I pick the first video to focus on.

 

When I first watch this video, I was amazed. I never learn or saw anything like this before. I had no clue that just by drawing lines and counting the intersection could help you get your answers. Watching this, made me surprised because I couldn’t believe this worked. I learned that teachers out there don’t want us, as a student, to know these shortcuts because we would use it more often than learn their way. I also learned that there are other methods out there to solve a multiplication problem. But a question I have is, what kind of multiplication does this work for? Does it work for two digits numbers? Can I work for more than two digits? Does it work for one digits?

 

Part 3-

As a future teacher, I want to teach my students different kind of ways to solve any kind of problems. I want to share information of what I understand more and show them my view of doing this. This video helps me understand that you could teach different kind of ways. In which this is teaching, like I learn how to use this method. This is relevant to the work I will be doing in my classroom because I’m going to be teaching how to multiply and distributive something and when to use it. But this is also math because in math, we not only use numbers, algorithms; but we also use diagrams, graphs, drawing to help us, etc.  A connection to the earlier reading assignment of Lockhart’s Lament is when Lockhart explains that in math you don’t have to follow specific directions to get your answer, it’s about creating new ones. And Lockhart is right, for example like the video, she didn’t use the basic multiplication to solve her answer,  she used lines and the intersection.

 

 

 

Exam #3 Review is posted

Hi everyone,

The review sheet for Exam #3, taking place next Thursday 11/16, is posted under Classroom Resources / Exam Reviews.  As always, if you have any questions or notice any errors please let me know (by email, in person, or here on the OpenLab).

Best,
Prof. Reitz

Week 11 Assignments

Written work – Due Tuesday, November 14, in class:
Chapter 10 p167: 1, 2, 5, 10, 15
Chapter 10 p167: 25, 28, 30
WeBWorK – none
OpenLab – none

Project – First draft of your group paper is due in class on Thursday, 11/16.

EXAM #3 will take place on Thursday, 11/16.

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