The purpose of this task is to identify the structure in the …
The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context. Students will have likely seen this type of process before, so the principal source of challenge in this task is to encourage a multitude and variety of approaches, both in terms of the geometric argument and in terms of the algebraic manipulation.
The purpose of this task is to help students see that 4_(9+2) …
The purpose of this task is to help students see that 4_(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without evaluating it.
Our school, Kelly Middle School, is one of the oldest middle school …
Our school, Kelly Middle School, is one of the oldest middle school buildings in 4J (primary construction was completed in 1945). Each year we practice earthquake drills. Why? Why should we be concerned about earthquakes? Where might an earthquake occur in the northwest area? Might it be minor or violent? How might this be measured? Is an earthquake a singular event, or a series of events? What increases or decreases an earthquake hazard? Do we have any early-warning systems? Is the school earthquake drill correct? Considering these questions students need to develop an understanding of how to prepare for, and react to an earthquake event. When students are comfortably informed, who should they report to?
This short video and interactive assessment activity is designed to teach fifth …
This short video and interactive assessment activity is designed to teach fifth graders about converting capacities using illustrations (english units).
This short video and interactive assessment activity is designed to teach fourth …
This short video and interactive assessment activity is designed to teach fourth graders about converting capacities using illustrations (english units).
This task is a modeling problem which ties in to financial decisions …
This task is a modeling problem which ties in to financial decisions faced routinely by businesses, namely the balance between maintaining inventory and raising short-term capital for investment or re-investment in developing the busines
In this undergraduate level seminar series topics vary from year to year. …
In this undergraduate level seminar series topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry.
Seminar for mathematics majors. Students present and discuss the subject matter and …
Seminar for mathematics majors. Students present and discuss the subject matter and write up exercises. Topic for Fall 2002: Classical geometry, beginning with Euclid's Elements and continuing to applications of Galois theory that solve the geometry problems of antiquity. No prior knowledge of Galois theory required. Instruction and practice in oral communication provided.
Seminar for mathematics majors. Students present and discuss the subject matter, taken …
Seminar for mathematics majors. Students present and discuss the subject matter, taken from current journals or books. Topics vary from year to year. Topic for Fall 2002: Quantum calculus. Instruction and practice in oral communication provided.
Seminar for mathematics majors. Students present and discuss the subject matter, taken …
Seminar for mathematics majors. Students present and discuss the subject matter, taken from current journals or books and write up exercises. Topic for spring 2003: Elementary topological properties of differentiable manifolds. Topics covered include Sard's theorem, the Thom transversality theorem, vector fields and the Poincare-Hopf theorem, and cohomolgy via differential forms. Prerequisites subject to negotiation with the instructor. Instruction and practice in oral communication provided. In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman's classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.
This course is a seminar in topology. The main mathematical goal is …
This course is a seminar in topology. The main mathematical goal is to learn about the fundamental group, homology and cohomology. The main non-mathematical goal is to obtain experience giving math talks.
This modeling task involves several different types of geometric knowledge and problem-solving: …
This modeling task involves several different types of geometric knowledge and problem-solving: finding areas of sectors of circles (G-C.5), using trigonometric ratios to solve right triangles (G-SRT.8), and decomposing a complicated figure involving multiple circular arcs into parts whose areas can be found (MP.7).
This task is intended to help model a concrete situation with geometry. …
This task is intended to help model a concrete situation with geometry. Placing the seven pennies in a circular pattern is a concrete and fun experiment which leads to a genuine mathematical question: does the physical model with pennies give insight into what happens with seven circles in the plane?
This task provides a concrete geometric setting in which to study rigid …
This task provides a concrete geometric setting in which to study rigid transformations of the plane. It is important for students to be able to visualize and execute these transformations and for this purpose it would be beneficial to have manipulatives and it will important that the students be able to label the vertices of the hexagon with which they are working.
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