Pre Algebra 2 Zambak Pdf

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Pre Algebra 2 Zambak Pdf

our study addressed these gaps by exploring psts noticing skills of students and their own reasoning in generalizing and justifying mathematical patterns. to address the gap in existing research, we decided to explore psts noticing skills of students in a classroom context with an in-depth examination of teacher and student thinking. we chose to focus on generalization and justification processes because they support the mastering of student algebraic thinking skills (e.g., understanding the elements of a pattern, identifying a pattern for the purpose of generalizing it, identifying relations between two or more given patterns, applying a pattern on a different context).

our study focused on generalization and justification processes in geometry and algebra. we chose geometry because of its relevance to mathematical thinking. geometry is a mathematical discipline that can be mastered through a progressive series of learning experiences that develop progressively more sophisticated thinking skills. for example, line segments, lines, and points can be recognized at an early elementary school level; parallelograms, squares, and triangles can be recognized at an early middle school level; congruent shapes, angles, and points can be recognized at an early high school level; and complex geometric forms can be recognized at an advanced high school level (dent, 2017 ).

algebra is also a mathematical discipline that can be mastered through a progressive series of learning experiences that develop progressively more sophisticated thinking skills. for example, linear equations and systems, numbers and relationships, functions and graphs, and polynomials and equations can be recognized at an early elementary school level; relations between numbers and algebraic expressions can be recognized at an early middle school level; and algebraic thinking in more complex forms such as quadratic equations, systems, and functions can be recognized at an early high school level (dent, 2017 ).

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