This week I spent approximately 3 hours
with student going over linear equations with slope intercepts problems. Learning
sessions took place while at home with minimal distractions. Student was having
problems with understanding the linear equations of point slope and slope
intercept formulas. The tutoring took
place over 3 different sessions M, T and TR.
Student
wasn’t getting the concept of Y = MX + B given one or two points. I asked him
to plot several points on different sheets of graphing paper. He wanted to
estimate by slope by counting squares. I told him to graph the 3 slopes his way
while I used the slope intercept form to do the same three points. I was
finished in approximately 3 minutes while he spent 7-10 minutes on the counting
of squares and estimating the slope. After comparing answers, He got 1 out of
three correct and I got all three correct. Student worked with M= y2-y1/x2-x1
to slope and plug this in to either point using y=mx+b formula.
I
felt confident that after going through the above mentioned steps that he
understood the linear equation to solve slope intercept by using the correct
formula. What I could improve on is maybe expanding this lesson into using more
points. Slope intercept is pretty straight forward and seems it may be hard to
improve on.
The
challenges I worked through was habits of trying to read the chart without using
the formula. What seemed practical to student wasn’t correct and using an
interactive approach and alternative ideas to student seemed to work as
discussed in this week’s article. I also believe I worked in changing the student
model as discussed in week four’s article altogether changing his perception on
how to get the correct answer.
Kurt, it seems that the student has a strong mental model of slope through counting the squares on the graph paper. Try to consider using this as a resource through comparing this technique and the point-slope technique. The two are related -- what are the benefits and challenges of each? time, accuracy, etc.
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