As suggested by the catalog description (below), this course provides an advanced perspective on the concepts in elementary school geometry.
The conceptual framework for understanding and applying properties, models, and operations related to various geometric systems in problem solving settings. Prerequisites: Math 1314, SMTE 1350, SMTE 1351. »Course Catalog
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Class Posts
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Artists' Showcase - Project for Elementary Education Majors
Elementary education majors have an amazing sense of creativity and interest in interdisciplinary ways of teaching mathematics. The pictures below show some of my Fall 2012 Fundamentals of Math III (geometry and measurement) students' work on an Art Project. The project asked students to choose an artistic movement, create an original piece of artwork in…
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Study Guide for Final Exam - SMTE 3352 - Fall 2012
See the link below for details about the final exam for the Fall 2012 sections of SMTE 3352 with Joe Champion. SMTE 3352 - Final Exam Study Guide - Fall 2012 Sorry, no answer key will be made available. The plan is to discuss the practice exercises and topics during class on Monday, 12/3.
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Online Activity on Calculating Area
The goal of this online activity is to expose future teachers in SMTE 3352 (Geometry and Measurement for Elementary Teachers) to some potentially effective strategies for learning geometry online. Discovery Complete Levels 1 (8 pieces) and 2 (10 pieces) of the Airlines Builder game at PBSKids.org. Be prepared to talk in class about how perimeter…
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Solids, Nets, and Polyhedra
There are just 5 regular convex polyhedra, called the Platonic Solids. Tetrahedron (4 faces) Cube (6 faces) Octahedron (8 faces) Dodecahedron (12 faces) Icosahedron (20 faces) However, there are many more interesting shapes that can be made with regular polygons. The Johnson Solids are a set of 92 convex polyhedra in which each face is a…
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Classifying Quadrilaterals (Activity)
This is a three-part activity to be completed by a group of elementary education majors without access to the internet or textbooks. Definitions Consider the following list of minimal definitions. Polygon – the interior of a closed curve formed by planar line segments. Quadrilateral — a four-sided polygon Kite — a quadrilateral with two distinct…
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Posterizing Measurement Units
This is an in-class activity for small groups of students to create informational posters on ways people use to measure certain quantities. Download the Activity Posterize - Measurement Facts Poster Topics The History of the Metric System Daily Values Bushels Wind Speed Viscosity Hat Size Paper Size Apgar Scores Poster Requirements Everything should be readable…
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Midterm Exam on Figures & Curves - SMTE 3352 - Fall 2012
Instructions This exam counts for 20% of your grade in the class. The exam has 6 exercises for 100 points and must be completed during class on 9/26/12. To earn full credit on any problem, justify your solutions, make your reasoning clear, and indicate your methods. That is, USE WORDS. You may use a calculator…
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A Graphical Sketchpad App
Sketchpad is a really excellent free app for developing graphical work on the web. Works best on Google Chrome (e.g., the save featured failed for me using Internet Explorer).
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Outdoor Measurement Activity
This is an activity for groups of people to use a list of non-standard units of measure (e.g., "Mississippis") in order to calculate quantities on the campus of Texas A&M University - Corpus Christi. It's fairly easy to modify the document to pose questions in other settings. Outdoor Activity on Non-Standard Measurement (Each question takes about…
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Measurement Error
A few key ideas that all elementary teachers should know about "measurement error": Every measurement made with a tool is approximate. Measurement error does not refer to mistakes - it refers to the mathematical uncertainty associated with a measurement process. Deviation vs. Variation The difference between a measurement and the "true value" is called deviation.…
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Metric Olympics
We did an in-class activity on designing Olympic-style events for the classroom that help students learn the SI and Metric systems of measurement. A few related links: Prefixes in the SI and Metric System List of Physical Quantities in the SI system Mini-Metric Olympics Example photos from a Metric Day More on the the Metric…
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Quiz #2 - SMTE 3352 - Tessellations
After a week of studying symmetries and tessellation techniques, we have a quiz with a single task: Outline a 5-day unit to introduce some tessellation techniques to a class of 16 mathematics students in the 4th grade. Decide on a focused scope of content, and use the "5E" format to sketch out your plan: Engage…
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Student-Created Geometric Artwork
The slideshow below shows some student-created artwork in SMTE 3352 - Fall 2012. These are my personal images of the work and are shared with the world because I think the work is great and I think we can celebrate and disseminate our students' contributions without causing a big fuss. Sound Off What do you…
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Family Math Night - Fall 2012
We have a family math night event tentatively scheduled for Tuesday, October 9th at 6-7 p.m. at Seashore Middle Academy. Sign-up for activities will happen in class on Monday, 9/12. View the FMN Grading Guidelines - Fall 2012 for more information on the assignment and alternatives for those who cannot attend. :mrgreen: Sign-up for Family Math…
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Tilings and Tessellations
A tiling of an object is a pattern of figures that covers an object with no overlaps and no gaps. The 8 semi-regular tilings of the plane make great examples. A tessellation is a type of tiling in which a single figure is used repeatedly. In school mathematics, tessellations usually refer to tilings of the plane, and usually by a single…
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Applet for Symmetric Art
An excellent Flash-based applet for producing art using symmetries. Symmetry Artist
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Homework for SMTE 3352 - Fall 2012
These are things you turn in to be graded. Unless otherwise noted, homework cannot be submitted after the respective hard deadline (midterm and final exam). Due 8/27: Define a word (see Curves and Lines). Due 8/31: Read Types of Symmetries in the Plane and turn in your solution to any 3 of the exercises. Due…
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Geometric Art Project - Fall 2012
Due: Monday, October 29th,2012 Handout - Guidelines for Geometry Art Project - SMTE-3352 Peer Evaluation Form (to be used during the Showcase) This major project counts for 30% of the course grades in SMTE 3352.001. First, you'll select and research an artistic movement, focusing on connections to geometric ideas. Then, you'll create each of the following:…
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Formal Definitions of Geometric Terms
Many of these words have alternate meanings in contexts like algebra, but the following definitions are useful for getting a formal system of terms in basic geometry. Point – an undefined basic geometric object with location but no other characteristics. Line – an undefined basic geometric object containing points. In most geometries, lines are straight.…
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Geometry Quiz #1
This quiz is an assessment of your understanding of terms used to describe figures in the plane. Includes a nice list of selected vocabulary terms. Quiz 1 - SMTE 3352 - Fall 2012 Formal Definitions of Geometric Terms
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Lines and Curves
The lesson on Lines and Curves focuses on vocabulary, including: an introduction to drawing and describing circles (GeoTools) a video on spirals terms for curves and figures in the plane Homework Look-up your "word" and turn in: definition (both formal & informal) example non-example diagram Be ready to choose an Artistic Movement on Monday Read the…
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Geometry Final Exam - SMTE 3352
I'm posting the final exam for my section of SMTE 3352 at Texas A&M University - Corpus Christi for 4 reasons: I'd like to help future elementary education students who are desperate for study materials in geometry I want more people to see the kinds of challenging math concepts in elementary education classes I'd like…
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Nets and Polyhedra
Inspired by the 92 Johnson Solids, this handout for an in-class activity on nets for polyhedra uses the Nets of Polyhedra interactive website to generate some interesting foldable polygonal regions that form convex polyhedra from regular shapes which share at least one edge. Download the Handout - 10 Nets for Polyhedron (works well with thick…
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Final Exam Study Guide - SMTE 3352
Instructions The comprehensive Final Exam counts for 20% of the overall course grade. The exam includes content from the text, in-class activities, and handouts. To earn full credit on exam items, clearly explain your reasoning using full sentences, justify your solutions, and always indicate your methods. You may bring a reference sheet for the…
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Photos - Family Math & Science Night (8/2011)
About 400 people showed up for 28 math and science activities at London ISD on July 26, 2010. The photos below are my personal shots from this public event. Please email me if you'd like one or more of the photos in higher resolution.
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Seven Types of Quadrilaterals
This is a three-part activity to be completed by a group of elementary education majors without access to the internet or textbooks. Definitions Consider the following list of minimal definitions. Polygon – the interior of a closed curve formed by planar line segments. Quadrilateral — a four-sided polygon Kite — a quadrilateral with two distinct…
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Some Fractal Techniques
Some useful links for the inspired elementary education student who wants to draw their own fractals. Overview Types of Fractals Some Hand-drawn Fractal Art Fractals in the Classroom (and the cafeteria) Useful Techniques Base-motif method Cluster method IFS method Star method Tree method (try the 30-60-90) The Dragon Curve 3-D Video of the Dragon Curve…
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Family Math and Science Night - Summer 2011
Where? The activities will take place at London ISD on Tuesday, July 26 at 5:00-7:00 pm. For more details: Download the FMSN Flyer Grading Guidelines The assignment accounts for 10% of the course grades, and there are several deadlines worth checking out in the: Read the FMSN Grading Guidelines Sign-Up To check out the activity options and…
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Art Project Guidelines
The geometric art project counts for 25% of the course grades in SMTE 3352.001. The tasks in the project include: Find a piece of art that you like and seems to have strong geometric content Learn about the geometric techniques used to produce the art Create an original artwork by applying the geometric techniques from…
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Quiz 1 Study Plan - SMTE 3352
The first quiz will be completed with your peers. You'll have 45 minutes to complete 10 problems, and you can use any notes or class materials, but not the internet. Here's what I'd suggest doing to study for Quiz 1. Read and understand the terms in section 11.1 of the textbook. Understand the terms associated…
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Doritos are Triangles
These are the terms and facts we listed in class on 7/5/2011. It took about 30 minutes to generate the list as a group. The Angle Sum of any triangle is 180 degrees All triangles have 3 vertices All triangles have 3 sides An obtuse triangle has one angle measuring greater than 90 degrees An…
Day by Day
»For the full details, check out the Updated Course Calendar for SMTE 3352.
DAY | DATE | TOPIC | CLASS CONTENT |
|---|---|---|---|
15 | W 9/26 | Figures & Measure | "Midterm" Exam |
16 | F 9/28 | Shapes | Activity |
17 | M 10/1 | Properties of Shapes | Interactive Lecture |
18 | W 10/3 | Triangles | Activity |
19 | F 10/5 | Quadrilaterals | Quiz |
20 | M 10/8 | Geometry & Measurement in the Schools | Family Math Night Practice |
21 | W 10/10 | Geometry & Measurement in the Schools | Discussion on FMN |
22 | F 10/12 | Classification of Quadrilaterals | Activity |
23 | M 10/15 | Polyhedra | Activity |
24 | W 10/17 | Euler's Formula Revisited | Quiz |
25 | F 10/19 | Compensation for Professional Development | No Class |
26 | M 10/22 | Geometry in Art | Project Work Time |
27 | W 10/24 | Geometry in Art | Project Work Time |
28 | F 10/26 | Geometry in Art | Project Work Time |
29 | M 10/29 | Geometry in Art | Artists' Showcase |












