InterMath  Workshop Support  

Description  Materials  Outline  Participant  Policies  Assessment
COURSE DESCRIPTION
Goals Addressed:
Improvement Practices:
Participants will gain knowledge and practice in developing instructional activities and strategies for teaching geometry in the middle school classroom in order to positively affect student achievement. Participants will also improve their own mathematical competencies in the area of geometry.
Competencies:
I. Week 1
A. Introduction to InterMath
B. Introduction to Technology
C. Work through a geometry investigation as a whole class using technology
D. Discuss the components and structure of a writeup (including extensions)II. Week 2
A. Participants engage in investigations in Points, Lines and Planes
B. Participants begin their first web page writeups to include in their online portfolios
C. Continued technological teaching and support (especially with GSP and the structure of a writeup)III. Week 3
A. Participants engage in the Circles investigations
B. Participants add writeups to include in their online portfolios
C. Continued technological teaching and support (especially with GSP and the structure of a writeup)IV. Weeks 45
A. Participants engage in the Triangle Investigations
B. Participants add writeups to their online portfolios
C. Introduction of spreadsheet programV. Weeks 67
A. Participants engage in the Quadrilateral Investigations
B. Participants add writeups to their online portfolios
C. Introduction of graphing programVI. Week 8
A. Participants engage in the Polygon Investigations
B. Participants add writeups to their online portfoliosC. Discuss and brainstorm ideas about modifying the InterMath experience for a middle school mathematics classroom
VII. Weeks 910
A. Participants engage in the 3D Object Investigations
B. Participants add writeups to their online portfoliosVIII. Week 11
A. Participants explore systems of measurement and Logic investigations
B. Participants add middle school lesson plan to their online portfoliosIX. Week 12
A. Participants engage in Coordinate Geometry Investigations
B. Each participant creates a technologyenhanced mathematical investigation for their own classroom
C. Participants add middle school lesson plan to their online portfoliosX. Week 13
A. Participants engage in Transformational Geometry Investigations
B. . Participants add writeups to their online portfolios
C. Participants should work on a lesson plan consistent with InterMath for their studentsXI. Week 14
A. Each participant will take a Geometry exam
B. presents their entire instructional activity to the entire class
C. Class will provide feedback on the lesson plan
9. MATHEMATICAL CONTENT EXPLORED THROUGH THE INVESTIGATIONS
(Click Here to see a list of selected InterMath investigations clustered for Geometry )
Points, Lines and Planes
 Solve problems involving properties and concepts of points, lines and planes in a twodimensional setting
 Classify lines as parallel, perpendicular, intersecting and skewed
Circles
 Solve problems involving properties and concepts of circles such as area, circumference, diameter, sector, angles, arcs, radius, equation of a circle and Pi
Quadrilaterals
 Classify quadrilaterals as squares, rectangles, parallelograms, trapezoids, or rhombi
 Solve problems involving properties of quadrilaterals such as parallel lines, diagonals, midpoints, length, width, area, perimeter
 Explore what happens to the area and perimeter of a quadrilateral as the dimensions are modified
Triangles
 Classify triangles as acute, obtuse, right, equilateral, equiangular, isosceles, and scalene
 Explore triangle properties and triangle centers such as medians, altitudes, angle bisectors, centroid, orthocenter, circumcenter, incenter, etc.
 Solve triangle problems involving change of dimensions, perimeter, area, and the Pythagorean Theorem
Polygons
 Classify polygons as regular, convex, and congruent
 Construct polygons in GSP; determine which can create tessellations
 Explore problems involving properties of polygons such as vertex angles, interior angles, exterior angles, area, perimeter, apothem, lines of symmetry, diagonals
3D Objects
 Solve problems involving volume and surface area of cubes, cylinders, rectangular solids, spheres, cones, and pyramids
 Explore the properties of vertices, edges, faces, and dimensions of solids
Undergraduate:
Participants will be assessed on the content and quality of their online portfolios. Feedback and suggested modifications for a select number of writeups will be provided throughout the workshop. Assessment will be based on use of representation, analysis, appropriate selection and use of technological tools, creation of extensions, and accuracy of mathematics. In addition to the investigation writeups, the participants will also create a mathematics lesson that integrates technology and geometry for use in their own classroom. Points will be assigned on a rubric, to be given later, addressing the above criteria. The grade will be determined by a ratio of points earned divided by total possible points multiplied by 100.
60% Writeups
20% Lesson Plans
20% Final Exam
For final percentages falling in the following intervals, a student will earn at least the corresponding letter grade: [90,100] A; [80, 89.99] B; [70, 79.99] C, [60, 69.99] D; [0, 59.99] F
Graduate:
Participants will be assessed on the content and quality of their online portfolios. Feedback and suggested modifications for a select number of writeups will be provided throughout the workshop. Assessment will be based on use of representation, analysis, appropriate selection and use of technological tools, creation of extensions, and accuracy of mathematics. In addition to the investigation writeups, the participants will also create a mathematics lesson that integrates technology and geometry for use in their own classroom. Graduate students will be asked to align their writeups and lesson plans with the Georgia Performance Standards (GPS). http://www.georgiastandards.org
Points will be assigned on a rubric, to be given later, addressing the above criteria. The grade will be determined by dividing the number of points earned by total possible points and multiplying by 100 to obtain a percentage of points earned.
60% Writeups
20% Lesson Plans
20% Final Exam
For final percentages falling in the following intervals, a student will earn at least the corresponding letter grade: [90,100] A; [80, 89.99] B; [70, 79.99] C, [60, 69.99] D; [0, 59.99] F