I share highlights from our research study published on February 28, 2020. (Scroll for article link.) What are students trying to do when sketching graphs? What do students think graphs “should” represent? What We Did We conducted a set of three individual interviews with 13 high school students (8 eleventh grade, 5 ninth grade). Students… Continue reading Students’ Goals for Graphing
Students have many opportunities to use different types of representations to show the same relationship between variables (e.g., graphs, tables, equations). Students also benefit from opportunities to use different forms of the same type of representation (two different looking graphs) to show the same relationship between variables. Wonder how that can be? Check out this… Continue reading The Same Situation. Two Different Graphs.
Sea levels aren’t just rising. They’re rising FASTER. https://www.cnn.com/2018/02/12/world/sea-level-rise-accelerating/index.html Yet how do students come to make sense of variation in change? How do “increasing” increases become things for students? In a March 2018 episode of the Math Ed Podcast, I talked with Sam Otten (@ottensam) about an article I co-authored with Evan McClintock. I share… Continue reading Increases can increase? Learn what students think
2018 began with news articles about varying increases: U.S. Private Payrolls Growth Accelerates; Jobless Claims Up UK Productivity Growth Hits Six-Year High After Weakest Decade Since 1820s Euro Zone Factory Growth Surges to Record; More Uneven in Asia What kinds of opportunities help students to make sense of accelerating growth? In our recent research article,… Continue reading Give students opportunities to make sense of varying increases
In math classes, students work with graphs. A LOT. Yet, what do students think graphs are? Why might students sketch or use graphs? A powerful way for students to think about graphs: As relationships between “things” that can change Together with Dan Meyer and the team at Desmos, I developed activities, “Techtivities” to provide students… Continue reading Make Graphs about Relationships with Cannon Man
Earlier this year, I searched for some newspaper headlines that dealt with rates. Here are a few that I came across: “Colorado unemployment rate among 10 lowest in the country” “Unintended pregnancy rate in U.S. is high, but falling” “Oil ends sharply higher. Logs 10% weekly gain as output draws focus” Many of the headlines… Continue reading Why is it so hard for students to make sense of rate?