Student Teaching...Day 1 Complete

Well, I've survived my outset 24-hour interval of pupil teaching.  I apologize inwards advance if this weblog postal service seems fragmented.  It is fragmented.  After a 24-hour interval of observing as well as interacting alongside students, I possess got as well as thence many thoughts floating through my head.  Actually, the give-and-take "thoughts" inwards the preceding judgement could live replaced alongside "questions" equally I await dorsum over what I possess got written.  I don't possess got the answers to these questions correct now.  Some of them I may never possess got answers for.  But, I fright that if I create non tape them today, they volition live lost.  Because a hundred novel questions as well as thoughts volition probable possess got their house tomorrow.     

Algebra 1
Today, I noticed that the bulk of problems that students had were alongside negatives as well as fractions.  Though I was surprised at the fact that many students nonetheless struggled alongside the fact that a negative times a negative is a positive, I was to a greater extent than surprised how many students only ignored the negative signs altogether.  It was equally if the negative signs were invisible to the students.  Why?

When are nosotros ever going to locomote this?
The course of written report had been reviewing how to solve inequalities for less than 5 minutes when this query was posed.  My cooperating instructor was quick to remind the students that piece they mightiness non locomote algebra inwards their lives, they volition locomote the logical thinking skills that algebra teaches daily.  To me, math as well as its applications environs us.  Working for my family's business, I possess got the chance to locomote algebra on a regular basis.  But, I realize I am an exception.  How tin I brand math relevant to my students?

Geometry
Other than the geometry problems I worked on my instructor certification exam, this is actually my outset exposure to geometry since my freshman yr of high school.  Today, I realized that geometry is virtually the WHY? question.  Sure, nosotros inquire students to abide by the mensurate of angle 2.  But, almost always, this is followed upwards alongside the query of why that is true.  Students are, for peradventure the outset time, beingness asked to justify their steps.  The fact that students possess got as well as thence piffling sense talking virtually mathematics becomes presently evident.

Why create nosotros inquire the WHY? query inwards geometry but non algebra?  In algebra, nosotros desire to know if students know WHAT nosotros are solving for, WHAT the solution to the equation is, WHAT the gradient of the trace is, ...

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