Teaching School Mathematics: Algebra
Hung-Hsi Wu
Π°Π²Π³ 2016. Β· Miscellaneous Book Series 99. ΠΊΡΠΈΠ³Π° Β· American Mathematical Soc.
Π-ΠΊΡΠΈΠ³Π°
274
Π‘ΡΡΠ°Π½ΠΈΡΠ°
reportΠΡΠ΅Π½Π΅ ΠΈ ΡΠ΅ΡΠ΅Π½Π·ΠΈΡΠ΅ Π½ΠΈΡΡ Π²Π΅ΡΠΈΡΠΈΠΊΠΎΠ²Π°Π½Π΅ Β Π‘Π°Π·Π½Π°ΡΡΠ΅ Π²ΠΈΡΠ΅
Π ΠΎΠ²ΠΎΡ Π΅-ΠΊΡΠΈΠ·ΠΈ
This is a systematic exposition of introductory school algebra written specifically for Common Core era teachers. The emphasis of the exposition is to give a mathematically correct treatment of introductory algebra. For example, it explains the proper use of symbols, why βvariableβ is not a mathematical concept, what an equation is, what equation-solving means, how to define the slope of a line correctly, why the graph of a linear equation in two variables is a straight line, why every straight line is the graph of a linear equation in two variables, how to use the shape of the graph of a quadratic function as a guide for the study of quadratic functions, how to define a parabola correctly, why the graph of a quadratic function is a parabola, why all parabolas are similar, etc. This exposition of algebra makes full use of the geometric concepts of congruence and similarity, and it justifies why the Common Core Standards on algebra are written the way they are.
Π Π°ΡΡΠΎΡΡ
Hung-Hsi Wu: University of California, Berkeley, CA
ΠΡΠ΅Π½ΠΈΡΠ΅ ΠΎΠ²Ρ Π΅-ΠΊΡΠΈΠ³Ρ
ΠΠ°Π²ΠΈΡΠ΅ Π½Π°ΠΌ ΡΠ²ΠΎΡΠ΅ ΠΌΠΈΡΡΠ΅ΡΠ΅.
ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡΠ΅ ΠΎ ΡΠΈΡΠ°ΡΡ
ΠΠ°ΠΌΠ΅ΡΠ½ΠΈ ΡΠ΅Π»Π΅ΡΠΎΠ½ΠΈ ΠΈ ΡΠ°Π±Π»Π΅ΡΠΈ
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ΡΠΎΠ½ΠΈΠ·ΡΡΠ΅ ΡΠ° Π½Π°Π»ΠΎΠ³ΠΎΠΌ ΠΈ ΠΎΠΌΠΎΠ³ΡΡΠ°Π²Π° Π²Π°ΠΌ Π΄Π° ΡΠΈΡΠ°ΡΠ΅ ΠΎΠ½Π»Π°ΡΠ½ ΠΈ ΠΎΡΠ»Π°ΡΠ½ Π³Π΄Π΅ Π³ΠΎΠ΄ Π΄Π° ΡΠ΅ Π½Π°Π»Π°Π·ΠΈΡΠ΅.
ΠΠ°ΠΏΡΠΎΠΏΠΎΠ²ΠΈ ΠΈ ΡΠ°ΡΡΠ½Π°ΡΠΈ
ΠΠΎΠΆΠ΅ΡΠ΅ Π΄Π° ΡΠ»ΡΡΠ°ΡΠ΅ Π°ΡΠ΄ΠΈΠΎ-ΠΊΡΠΈΠ³Π΅ ΠΊΡΠΏΡΠ΅Π½Π΅ Π½Π° Google Play-Ρ ΠΏΠΎΠΌΠΎΡΡ Π²Π΅Π±-ΠΏΡΠ΅Π³Π»Π΅Π΄Π°ΡΠ° Π½Π° ΡΠ°ΡΡΠ½Π°ΡΡ.
Π-ΡΠΈΡΠ°ΡΠΈ ΠΈ Π΄ΡΡΠ³ΠΈ ΡΡΠ΅ΡΠ°ΡΠΈ
ΠΠ° Π±ΠΈΡΡΠ΅ ΡΠΈΡΠ°Π»ΠΈ Π½Π° ΡΡΠ΅ΡΠ°ΡΠΈΠΌΠ° ΠΊΠΎΡΠ΅ ΠΊΠΎΡΠΈΡΡΠ΅ Π΅-ΠΌΠ°ΡΡΠΈΠ»ΠΎ, ΠΊΠ°ΠΎ ΡΡΠΎ ΡΡ Kobo Π΅-ΡΠΈΡΠ°ΡΠΈ, ΡΡΠ΅Π±Π° Π΄Π° ΠΏΡΠ΅ΡΠ·ΠΌΠ΅ΡΠ΅ ΡΠ°ΡΠ» ΠΈ ΠΏΡΠ΅Π½Π΅ΡΠ΅ΡΠ΅ Π³Π° Π½Π° ΡΡΠ΅ΡΠ°Ρ. ΠΡΠ°ΡΠΈΡΠ΅ Π΄Π΅ΡΠ°ΡΠ½Π° ΡΠΏΡΡΡΡΠ²Π° ΠΈΠ· ΡΠ΅Π½ΡΡΠ° Π·Π° ΠΏΠΎΠΌΠΎΡ Π΄Π° Π±ΠΈΡΡΠ΅ ΠΏΡΠ΅Π½Π΅Π»ΠΈ ΡΠ°ΡΠ»ΠΎΠ²Π΅ Ρ ΠΏΠΎΠ΄ΡΠΆΠ°Π½Π΅ Π΅-ΡΠΈΡΠ°ΡΠ΅.
