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Author Archives: Scott Steketee
Polar Graphing
http://www.youtube.com/watch?v=X6rBrby7aic&w=640&h=456]
After writing yesterday’s post on the connections between polar and Cartesian graphs, I realized that I hadn’t said anything about how easy it is to start from scratch and create a polar graph in Sketchpad, so I decided to write … Continue reading
Cartesian and Polar Graphs
http://www.youtube.com/watch?v=aqvksICv99E&w=640&h=360]
The May 2013 Mathematics Teacher has an excellent article by Jonathan F. Lawes (“Graphing Polar Curves”) on the value of plotting the same function in both polar and rectangular coordinates. Doing so not only helps students understand how polar coordinates … Continue reading
Exponential Harmony with Sketchpad
Last week was the fourth session of my spring Advanced Secondary Math Methods class at the University of Pennsylvania. Each year I assign a semester project in which groups of three students use lesson-study techniques—on a small scale—to create, test, … Continue reading
Posted in Real-World Math
Tagged Algebra and Functions, Modeling, Pedagogy, Problem Solving, Sketchpad, Teacher Collaboration
1 Comment
ICME: The Nature of Students’ Mathematical Thinking
Like other enthusiasts of mathematics, I’m captivated by the way that mathematical ideas can explain things in the physical world around me, and by the way that I can carry out mathematical thought experiments in my mind and then apply … Continue reading
Posted in Conferences
Tagged Algebra and Functions, Dynamic Number, Fathom, International Education, Pedagogy, Sketchpad, TinkerPlots
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ICME: A Sensory-Motor Experience of Korea
I had the immense good fortune this year to attend ICME, the International Congress on Mathematical Education. The Congress is held every year divisible by 4, and this iteration (the twelfth) was held in Seoul, Korea. It is quite something … Continue reading
Posted in Conferences
Tagged Dynamic Geometry, IMP, International Education, Sketchpad
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Sketchpad Activities, Cognitive Demand, and Differentiation
Not long ago, I conducted a Saturday morning PD session for some Texas teachers participating in an NSF research project. (The research is a controlled study of the relationship between students’ use of Sketchpad and their conjecturing and proving behavior. … Continue reading
Posted in Professional Development
Tagged Pedagogy, Sketchpad, Standards for Mathematical Practice, Videos
4 Comments
Parents, Children, and Functions in Sketchpad
http://www.youtube.com/watch?v=s4zYMJYzZi8?feature=player_embedded]
Functions are hard for students. Students seem to master various families of functions – linear, polynomial, exponential, trigonometric, and so forth. They can graph them, evaluate them, transform them, and answer a variety of questions about them. But ask even … Continue reading
Posted in Math Software
Tagged Algebra and Functions, Dynamic Geometry, Dynamic Number, Sketchpad
1 Comment
Writing Mathematics with Sketchpad
In a recent blog post, Karen Coe referred to Conrad Wolfram’s opinion that programming is to mathematics what composition is to English. I’ve taught programming and written a lot of Sketchpad code, and I appreciate Wolfram’s analogy. In English class, … Continue reading
Posted in Math Software
Tagged Constructions, Dynamic Geometry, Fractals and Tessellations, Sketchpad, Software Development, Videos
2 Comments
Preparing Cooperative Teachers in a Competitive World
I am troubled. Today is the first day of teaching my spring semester course, “Advanced Methods in Secondary Mathematics,” for my preservice master’s students. The mission of the Teacher Education Program at Penn is to prepare “reflective, collaborative, visionary teacher-leaders” … Continue reading
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