Before the first intervention activity, I taught students about simplifying algebraic
expressions with fractional coefficients (section 6-5). During the 6-5 activity I had students read
the example problem
3
5
6
43 xx
+
+
. Then they were given two explanations that explained how
and why to solve the problem (Appendix 2). I wanted students to see how one could explain how
to solve a problem. Students answered questions and judged which explanation was better and
explained in writing why they thought it was. Students then talked with an assigned partner and
discussed their answers. When I was observing, I saw that students were choosing the shorter
explanation as the better one, saying that it was clearer. Since I saw this as a skewing variable, I
made all the explanations the same length for the next activity.
Before the second intervention activity, I taught students how to set up and solve
proportions (section 7-2). During the 7-2 activity I had students read the example problem: “If
Jamie buys 18 shirts every 2 years, then how many will she have after 7 years?” (Appendix 3)
After the problem there were four explanations of how and why to solve the problem. I wanted
students to read multiple examples on how to explain a problem so that they might be able to
create ones themselves at the end of the intervention. I chose to give the students four different
explanations of varying quality so that they had to weigh the pros and cons of each explanation
and get a better idea of what makes a good explanation. Then there were leading questions,
helping students to rank the explanations in order from best to worst. Students ranked the
explanations and explained in writing why they ordered them in that way. Students then talked
with their partner about what they thought about their explanations and wrote if their opinion
changed.
Before the third intervention activity, I taught students how to solve equations with
fractional coefficients (section 7-3). So for the 7-3 activity I gave students the example
Before the first intervention activity, I taught students about simplifying algebraic
expressions with fractional coefficients (section 6-5). During the 6-5 activity I had students read
the example problem
3
5
6
43 xx
+
+
. Then they were given two explanations that explained how
and why to solve the problem (Appendix 2). I wanted students to see how one could explain how
to solve a problem. Students answered questions and judged which explanation was better and
explained in writing why they thought it was. Students then talked with an assigned partner and
discussed their answers. When I was observing, I saw that students were choosing the shorter
explanation as the better one, saying that it was clearer. Since I saw this as a skewing variable, I
made all the explanations the same length for the next activity.
Before the second intervention activity, I taught students how to set up and solve
proportions (section 7-2). During the 7-2 activity I had students read the example problem: “If
Jamie buys 18 shirts every 2 years, then how many will she have after 7 years?” (Appendix 3)
After the problem there were four explanations of how and why to solve the problem. I wanted
students to read multiple examples on how to explain a problem so that they might be able to
create ones themselves at the end of the intervention. I chose to give the students four different
explanations of varying quality so that they had to weigh the pros and cons of each explanation
and get a better idea of what makes a good explanation. Then there were leading questions,
helping students to rank the explanations in order from best to worst. Students ranked the
explanations and explained in writing why they ordered them in that way. Students then talked
with their partner about what they thought about their explanations and wrote if their opinion
changed.
Before the third intervention activity, I taught students how to solve equations with
fractional coefficients (section 7-3). So for the 7-3 activity I gave students the example
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