Opportunities for Reasoning Impact Students’ Attitudes and Performance

Opportunities for reasoning matter. Students need math to be more than a race to find answers to other people’s questions. How to create those opportunities? We worked with Dan Meyer and the team at Desmos to develop activities for students to learn how graphs work. You can check out the activities here. Great activities are… Continue reading Opportunities for Reasoning Impact Students’ Attitudes and Performance

From What iS? to What iF?

To open opportunities for students’ math reasoning, change the questions. Instead of What iS? Ask What iF? The questions look similar. Yet they imply very different responses. What iS? “Give an answer” What iF? “Consider the possibilities” Too often, students experience math as a pursuit of “What iS?” rather than an exploration of “What iF?“… Continue reading From What iS? to What iF?

The Same Situation. Two Different Graphs.

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.

Keep track of your writing progress to grow your writing practice

Ask yourself these questions: How often do you write? How long is your typical writing session? What counts as “writing”? Had you asked me these questions earlier in my career, I probably would have responded: (1) Not often enough, (2) A few hours, (3) Work on a paper. Keeping track of my writing progress A… Continue reading Keep track of your writing progress to grow your writing practice

Give students opportunities to make sense of varying increases

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

Make Graphs about Relationships with Cannon Man

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

How do you “half-work”?

Leisure is not an enemy of productivity. “Half-working” is. How do you keep your working time productive? I actively schedule “non-working” days and evenings. Planning for real breaks helps me to stave off “half-working.”#academiclife https://t.co/YQjvBvNGX1 — Heather Johnson (@HthrLynnJ) December 3, 2017 By “half-working,” I mean time spent, typically at my computer, when I’m neither… Continue reading How do you “half-work”?

I study students’ mathematical reasoning, and I take real breaks.

Making time for leisure strengthens my scholarship. Leisure time is not a luxury, it is a necessity.#academiclife #PhD — Heather Johnson (@HthrLynnJ) March 17, 2017 This week I revisited an advice column, Workload Survival Guide for Academics, which I came across last year. Professor Andrew Oswald identified a price that comes along with the privilege of being… Continue reading I study students’ mathematical reasoning, and I take real breaks.