TECHNOLOGY IN SCIENCE & MATH INSTRUCTION Presented by Yasumasa Shigenaga, Kara Johnson, Kathie Kehl

Introduction "We should all be concerned about the future because we will have to spend the rest of our lives there." Charles Francis Kettering, Seed for Thought, 1949 The use of technology in math and science instruction enables:  Accuracy of diagrams, illustrations  Display animations and movements  Enhances interest and motivation  Nurtures autonomy in learning  Changes outcomes more easily  Saves time and prevents mistakes

Cautions & Constraints  Classroom Management  Time Constraints  Technical Difficulties  Monitoring use and abuse  Monetary  Technical Support Availability  Adequate Teacher Training

Technology in High School Science  Technology integrated into the high school classroom  Authentic learning experiences Edutopia.org  Compare text to technology Studio Daily Cell video

Technology in Elementary Science  Water Cycle  Diagrams/animations:  EPA.gov EPA.gov  Earthguide.ucsd.edu Earthguide.ucsd.edu  Sweetwater.org Sweetwater.org  Animals  Video:  National Geographic Kids National Geographic Kids

Values of a, b & c in quadratic functions and their graphs Lesson plan prepared by Mr. Katsuhisa Tomoda (math teacher at Osaka Kyoiku University Ikeda High School;

In the quadratic function y=ax 2 +bx+c, what relationship exists between the values of a, b & c and the shape of the graph?

Value of a and the graph In the quadratic function y=ax 2 +bx+c, how does the value of a influence the shape of the graph? #2 x y O

Value of a and the graph (cont.) When you change the value of a in y=ax 2 +bx+c, the width and the direction of the graph changes. Therefore, the value of a signifies the width and the direction of the graph. x y O a = 0.5 a = 1a = 1 a = 2a = 2 a =  0.5 a =  1a =  1 a =  2a =  2

Value of c and the graph In the quadratic function y=ax 2 +bx+c, how does the value of c influence the shape of the graph? #4 123 x y O

Value c of and the graph (cont.) When you change the value of c in y=ax 2 +bx+c, the graph moves upward or downward without changing its shape. The value of c signifies the y intercept. 123 x y O c =  2c =  2 c =  1c =  1 c = 0c = 0 c = 1c = 1 c = 2c = 2

Value of b and the graph In the quadratic function y=ax 2 +bx+c, how does the value of b influence the shape of the graph? # x y O

Value of b and the graph (cont.) When you change the value of b in y=ax 2 +bx+c, it is not entirely clear what the value b signifies x y O

Value of b and the graph (cont.) In y=ax 2 +bx+c, let’s find a property that does not change even when the values of a and c are changed. # x y O

Value of b and the graph (cont.) When you change the value of a in y=ax 2 +bx+c, the graph always touches a straight line. Let’s examine the relationship of this line and the quadratic function. # x y O

Value of b and the graph (cont.) When you substitute 0 for a in y=ax 2 +bx+c, the straight line y=bx+c is obtained. Therefore, the value b signifies the slope of the tangential line on the y axis x y O a = 2a = 2 a = 1a = 1 a = 4a = 4 a = 4a = 4 a = a =  a =  2a =  2 a =  1a =  1 y = b x + c y = b x + c

MathType 6  Compatible with Vista/XP/Macs  Compatible with Word (2007 & older)  Free for 30 days  and then it reverts to MathType Lite—with Equation Editor, fonts, & symbols  $97 ($57 academic)  ault.htm ault.htm

MathType 6  Features and Benefits  Fonts, symbols, templates  Ingrates tabs and toolbars in many applications (including Word, Powerpoint, and Excel)  Can add equations into virtually any application  Quick and automatic reformatting of equations

WebEQ  Interactive math on webpages  Compatible with Windows (XP and older, not Vista) and Macs  Free for 30 days  $495 ($99 academic) 

WebEQ  Editor for creating equations Editor  Publisher—can create: Publisher  an entire HTML page  MathML  Images  Applet tags  Interactive WebEQ controls: Interactive WebEQ controls  Input, viewer, graph, evaluate

WebEQ  Drawbacks:  Needs MathPlayer, WebEQ Viewer Control, or Java installed to display MathML  Not compatible with Vista  Not intuitive (although there is a solutions & examples section)

Technology in Science Instruction Web Resources Collaborative Online Projects Science News for Kids Internet into the curriculum History of Science & Technology ABC News Science & Technology

Technology in Math Instruction Enchanted Learning: Illuminations: Interactive: Grapes: Online applications that appear particularly interesting: Mars Earth Orbit: Grapes: