2.  1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement D. Equity

3.  2. There is a need for all citizens to be literate in ? in order to make informed decisions that affect our country’s future. A. Science B. Mathematics C. Engineering D. Technology

4.  3. The definition of a data logger is… A. Links computers to scientific data- gathering instruments. B. Device that records information over time with sensors. C. Program that allows users to create geometric constructions. D. Software that helps carry out complex numeric calculations.

5.  4. Which of these are not one of the three implications for the use of technology in math education? A. Teachers should us a combination of on-and-off computer activities. B. Teachers should consider technology as a math tool rather than a pedagogical tool. C. Teachers should view technology as a tool for developing student thinking. D. Teachers should use computer software and applications that can be used for short periods of time across topics to engage students.

6.  5. Which of these is not one of the five mathematics process standards? A. Data Analysis B. Representations C. Problem Solving D. Reasoning and Proof

7.  Issues in Math Instruction  Technology Integration Strategies for Math Instruction  Issues in Science Instruction  Technology Integration Strategies for Science Instruction  Tech-Pack Needs and Challenges in Math and Science Instruction

9. Science and technology have a unique relationship. Technology supports science and science makes new technology possible. Technology provides many opportunities to build students conceptual knowledge of math and science as well as to connect their learning to problems found in our world.

10.  Six principles address crucial issues fundamental to all school mathematics programs: › Equity › Curriculum › Teaching › Learning › Assessment › Technology  These principles serve as a primary resource guide for all who make decisions that affect the mathematics education of students.

11.  Five Content Standards: › Numbers and Operations › Algebra, Geometry › Measurement › Data Analysis › Probability  Five Process Standards: › Problem Solving › Reasoning and Proof › Communication › Connections › Representations

12.  Teachers should consider an appropriate combination of off- and-on computer activities.  They should consider technology as a mathematical tool rather than as a pedagogical tool.  They should view technology as a tool for developing student thinking.

13. Technology Resources have made possible a variety of teaching and learning strategies to help address the Principles and Standards for School Mathematics.

14.  Physical  Physical- real objects such as blocks and coins. https://www.youtube.com/watch?v=n0AkQnq1bdM https://www.youtube.com/watch?v=n0AkQnq1bdM  Virtual  Virtual- replicas of real manipulatives that are accessed through the Internet and can be manipulated through input devices. https://www.youtube.com/watch?v=bNI6cfQyxDIhttps://www.youtube.com/watch?v=bNI6cfQyxDI

15.  Graphing Calculators  Graphing Calculators- advanced calculators that can graph equations, as well as perform calculation functions involved in higher-level math problems. › Collect or generate raw data › Examine multiple cases › Get immediate feedback › Have graphical and numerical displays  Interactive Geometry Software  Interactive Geometry Software- programs that allow users to create and manipulate geometric constructions. › Students are able to make discoveries related to geometry concepts.  Computer Algebra System  Computer Algebra System- software that helps carry out complex numeric calculations involved in higher-level math problems.  Calculator-based laboratories  Calculator-based laboratories- provide a means to link either calculators or computers to scientific data-gathering instruments. › Instruments such as thermometers or pH meters › Allows students to gather data and then analyze it.

16. For years now, great concern has grown about America’s ability compete in science and technology in the future. There is a declining number of students (especially females) pursuing studies in the math, science, and engineering fields.

17.  Increasing Need for Scientific Literacy: › Need for all citizens to be scientifically literate. › To make informed decisions that affect our country’s future. › America’s economic and environmental progress depends on the character and quality of the science education that our schools provide.  Objections to the Virtual Science Labs: › Teachers are now encouraging students into doing science instead of just hearing about it or seeing a demonstration. › “Hands-On/Minds-On Science” › Engaging in in-depth investigations with objects and materials to understand the material better from those experiences. https://www.youtube.com/watch?v=XG7A0zCW4X8 https://www.youtube.com/watch?v=XG7A0zCW4X8

18. Technology resources support many kinds of teaching and learning strategies to help address science standards.

19.  Authentic Online Projects  Data Loggers  Data Loggers- devices that record data over time with sensors, and global positions systems, as well as traditional technologies.  Engaging Students in Engineering Topics through Robotics › Robotic camps › Robotic competitions  Accessing Science Information and Tools › The Internet › Students can access NASA for the latest information on space › Students can access NOAA for information on the weather › Students can access NIH for information on medicine.

20. Technologies are an integral part of modern mathematics education and science education because they are essential in the field themselves.

21.  Learning which tools to use and hot to teach most effectively with them is the challenge that both math and science teachers face.  For example, some teachers do not demonstrate how to draw graphs, instead they have students enter data into a graphics calculator and help them interpret the output.

22.  Science and Math content knowledge  Pedagogical knowledge  Technological knowledge

23.  www.geogebra.org –mathematical graphing software www.geogebra.org  www.mathomatic.org/math -computer algebra system www.mathomatic.org/math  www.sheppardsoftware.com –free science tutorials and games www.sheppardsoftware.com  www.nap.edu –free videos and books www.nap.edu

24.  Five Process Standards  Five Content Standards

25.  1. Which is not one of the six principles that address crucial issues fundamental to all school math programs? A. Curriculum B. Assessment C. Measurement D. Equity

26.  2. There is a need for all citizens to be literate in ? in order to make informed decisions that affect our country’s future. A. Science B. Mathematics C. Engineering D. Technology

27.  3. The definition of a data logger is… A. Links computers to scientific data- gathering instruments. B. Device that records information over time with sensors. C. Program that allows users to create geometric constructions. D. Software that helps carry out complex numeric calculations.

28.  4. Which of these are not one of the three implications for the use of technology in math education? A. Teachers should us a combination of on-and-off computer activities. B. Teachers should consider technology as a math tool rather than a pedagogical tool. C. Teachers should view technology as a tool for developing student thinking. D. Teachers should use computer software and applications that can be used for short periods of time across topics to engage students.

29.  5. Which of these is not one of the five mathematics process standards? A. Data Analysis B. Representations C. Problem Solving D. Reasoning and Proof