Fellow algebra taker mandy lopez just shakes her head i guess were stupid we just dont get it experts insist students need to get algebra and with help teenagers can tackle the subject. And suppose that orderedness of ys is a condition for applying f ys that is otherwise the result of f may be incorrect or senseless in a classical computa tion its usage is like this ys sort xs zs f ys a proof for the statement 8xs isordered sort xs is generic and is given somewhere separately of the program the compiler does . In many ways algebra can be as challenging for teachers as it is for students with so much emphasis placed on procedural knowledge and the manipulation of variables and symbols it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. I have been a math and science tutor for many a year now i have taught hundreds of students with wildly varied backgrounds abilities attitudes levels of conscientiousness etc there are 2 polar. What does algebra mean to you for many of us the word algebra conjures classroom memories of xs and ys manipulating numbers and symbols according to prescribed rules and solving for the unknown in an equation it may not have been clear where the rules came from or why x could be different in every problem in recent years the vision of how algebra is taught has been changing
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