responding to common patterns of student thinking in mathematics

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Page 1: Responding to common patterns of student thinking in mathematics
Page 2: Responding to common patterns of student thinking in mathematics
Page 3: Responding to common patterns of student thinking in mathematics

Median, Mode, Range

BingoI had students in small groups rotating into my game

group. The game was a review about median, mode or range. Students had a spinner that would land on either median mode or range. From there, they would pick five numbers for their data set from a random deck of numbers. Afterwards, they found either the median, mode, or range depending on what they spun. Students needed to consult with their team members to see if they got the answer right. If the answer was right, they could mark off either a median, mode, or range on their bingo board.

Page 4: Responding to common patterns of student thinking in mathematics
Page 5: Responding to common patterns of student thinking in mathematics

Explanation of

Misconceptions

At the beginning, before the game started, I had

students review with me what the median, mode,

and range were in order to help them with any

common misconceptions during the game. They

were also taught certain symbols and hand

motions to help them memorize what each word

means in which I utilized them in the video.

Page 6: Responding to common patterns of student thinking in mathematics
Page 7: Responding to common patterns of student thinking in mathematics

Conception of

the Equal Sign

After reading this file, I was able to see a wide range of answers

and conceptions about the equal sign at different levels of

students. From here, I was able to think like an elementary

school student and put myself on their levels. I was also able to see that children in the same

class learn at different rates and therefore their perceptions of a concept can be misconstrued at

all different levels.

Page 8: Responding to common patterns of student thinking in mathematics
Page 9: Responding to common patterns of student thinking in mathematics

http://www.counton.org/resources/misconceptions/

Page 10: Responding to common patterns of student thinking in mathematics

Misconceptions

in Mathematics

This internet site offers a variety

of many types of

misconceptions in math. When

clicked, the PDF file offers

different models and

representations and even types

of manipulatives to show

children in order for them to

work through the misconception

and create a conceptual

understanding of the problem

Page 11: Responding to common patterns of student thinking in mathematics
Page 12: Responding to common patterns of student thinking in mathematics
Page 13: Responding to common patterns of student thinking in mathematics

Cont.To the right of the article’s

introduction, there was a list of subheadings within this article that

I read. These subheadings included how to question students to understand their thinking, what

should we do and don’t do as educators in order to comprehend their understanding, how to assess how students are arriving at their

answers, etc. It offered many great tips that I have used and will

continue to use in order to guide my learners to a conceptual

understanding.