Saturday, June 14, 2014

Blog Post #12: Journal Summaries 2


Hede, J.T., & Bostic, J.D. (2014). Connecting the threads of area and perimeter. Teaching Children Mathematics, 20 (7), 418 - 425.


Summary

In order to get 6th grade students to see the value and importance of learning the concepts of area and perimeter, the authors of this article decided to give students a more meaningful experience by asking them to design and create a quilt square. The lesson began with the teachers displaying various quilt patterns to the students and discussing the mathematical qualities that each quilt possessed. Students noticed that the majority of the quilts had geometric patterns that repeated one another. In phase 2 of the lesson, students  were provided with grid paper and instructed to design their own quilt square that contained only regular polygons and had a total area of 64 inches squared. Then students calculated the area and perimeter of each of their shapes to ensure that the sum was as close as possible to 64 inches. Finally, students cut out their shapes from wallpaper and created their final products. The quilt squares of all the students were displayed in the hallway for the rest of the school to see.


Reflection

I thought this lesson was a creative way to teach area and perimeter. Generally, real-world application of these concepts involve arranging furniture in a room, but never have I heard of students creating their own quilt squares.  I am not convinced, however, that the students found this to be a meaningful, real-world application project. How many students actually plan on sewing their own quilts with the knowledge gained from this lesson? Students might be exposed to the difficulty of quilting if a grandparent had it as a hobby but otherwise this lesson ended in a fun art project. This is obviously a step up from practice worksheets but not necessarily a project I want to try out in my own classroom one day.


Patterson, L. G. & Patterson, K.L. (2014). Problem solve with presidential data. Mathematics Teaching in the Middle School, 19 (7), 406-413.

Summary

This lesson provided students with a integrated lesson of Mathematics and Social Studies. The teachers began the lesson by getting students excited about the current and past presidents by introducing them to presidential facts and trivia. They also showed students a presidential rap on YouTube. Then, the teachers integrated the mathematical concepts through a bell ringer at the beginning of the next class, asking students to define mean, median, and mode. Students were placed into small cooperative groups and each member of the group was given a group role (i.e. scribe, spokesperson, runner, etc.). In these cooperative groups, the students calculated the age of each of the presidents when they were inaugurated. These ages were graphed using a stem and leaf plot and then students calculated the mean, median, and mode of this data. The following class period, students created different representations for the data and discussed patterns and/or trends they noticed in the data.  


Reflection

Being a History buff myself, I always appreciate incorporating social studies into the curriculum of other subjects. However, it is unclear to me as to the purpose of this history lesson. If the objective of the lesson was to get students to discuss the idea of age in the effectiveness of the presidency, this lesson simply asked them to determine what is the average age of the American presidents. There was little discussion over how age is important to the presidency or why the majority of our presidents have been in their 50s.  The lesson seemed more mathematically based than social studies based even though it was taught in a social studies classroom. I think it  could be useful if the teachers continued on to discuss the factors that contribute to an effective president that includes a discussion on age. Then both the mathematics and the social studies objectives will be met.

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