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Physical Sciences and Mathematics Commons™
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Articles 1 - 22 of 22
Full-Text Articles in Physical Sciences and Mathematics
Mastery Based Grading For Secondary Mathematics, Anderson Trimm
Mastery Based Grading For Secondary Mathematics, Anderson Trimm
Professional Learning Day
Dr. Trimm will discuss in detail his design and implementation of a mastery grading system in calculus at IMSA and how it offers many benefits over traditional grading. Dr. Trimm will also explain how it makes creating assessments and grading easier and less work for the teacher, while being more accurate.
The Wright Stuff: An Integrative Approach To Stained Glass, Cassandra Wissink Armstrong
The Wright Stuff: An Integrative Approach To Stained Glass, Cassandra Wissink Armstrong
Professional Learning Day
In this session we'll explore the scientific and mathematical influences behind the artistic stained glass creations of Frank Lloyd Wright, and use them to create our own Wright-inspired stained glass designs. This is a truly integrative lesson that touches on properties of glass, linear functions, and artistic design.
A Computer-Aided Decomposition Of The Complete Digraph Into Orientations Of K4 − E With A Double Edge, Hanson Hao
A Computer-Aided Decomposition Of The Complete Digraph Into Orientations Of K4 − E With A Double Edge, Hanson Hao
The International Student Science Fair 2018
The abstract is available as an Additional File.
Session A-3: Three-Act Math Tasks, Lindsey Herlehy
Session A-3: Three-Act Math Tasks, Lindsey Herlehy
Professional Learning Day
Participants will engage in a Three-Act Math task highlighting the application of properties of geometrical figures. Developed by Dan Meyer, an innovative and highly regarded mathematics instructor, Three-Act Math tasks utilize pedagogical skills that elicit student curiosity, collaboration and questioning. By posing a mathematical problem through active storytelling, this instructional approach redefines real-world mathematics and clarifies the role that a student plays in the learning process. Participants will be given multiple resources where they can access Three-Act Math tasks appropriate for upper elementary grades through Algebra and Geometry courses.
The Entangling Properties Of Knots And Links, Eshan Mehrotra '17
The Entangling Properties Of Knots And Links, Eshan Mehrotra '17
IMSAloquium Student Investigation Showcase
It has been conjectured that quantum entanglement operators can be lifted to braiding operators by the way of the topological quantum field theory axioms set forth by Witten and Atiyah. Moreover, it can be readily shown that quantum link invariants need entanglement to construct topological invariants. Given these results and the already dense mathematical framework underlying topology and quantum field theory, we propose that, through the usage of quantum algebra and bracket models, we can identify a significant area of overlap where entangling R-matrix solutions to the Yang-Baxter equation can be used to construct invariants of knots and links. Such …
Session E-2: Function Fundamentals, More Than X And Y, Carlo Ordonez, Steven M. Condie
Session E-2: Function Fundamentals, More Than X And Y, Carlo Ordonez, Steven M. Condie
Professional Learning Day
How many of your students say that √9 = ±3? This may have to do with a lack of understanding of functions. This session will highlight some of the nuances of functions with less formal, non-formula driven examples with which students can expand their understanding.
Session F-4: Developing Parametric Equations Using Mathematical Modeling, Mark Kammrath
Session F-4: Developing Parametric Equations Using Mathematical Modeling, Mark Kammrath
Professional Learning Day
Designing project to develop student understanding of parametric equations and two modeling situations in which they are applied. No previous knowledge of parametrics is required by the students. The project requires two days of class time, with the remaining work done outside of class. This project is intended to be given three days into a unit on vectors.
Session F-1: Exploration Geometry: Hands-On Transformations, Lindsey Herlehy, David Hernandez, Karen Togliatti
Session F-1: Exploration Geometry: Hands-On Transformations, Lindsey Herlehy, David Hernandez, Karen Togliatti
Professional Learning Day
In this session, participants will engage in a series of hands-on, minds-on Geometry lessons designed to explore the four transformations. By completing several critical thinking challenges, teachers will use the Common Core Mathematical Practices and various manipulatives to investigate how figures rotate, dilate, translate, and reflect within a plane. Appropriate for multiple grade levels, teachers will leave the session with all instructional plans and various ways to adapt the lesson based on the needs of their students.
Session D-3: The Mathematical Wonders Of Pascal's Triangle, Donald Porzio
Session D-3: The Mathematical Wonders Of Pascal's Triangle, Donald Porzio
Professional Learning Day
Most mathematics teachers are aware of the some of the more straightforward connections Pascal's Triangle has to mathematics. Come explore some of the lesser known connections that can be used to peak your students' interest and entice them into exploring the mathematics behind these connections.
Session A-4: It’S A Wrap, Lindsey Herlehy, David Hernandez
Session A-4: It’S A Wrap, Lindsey Herlehy, David Hernandez
Professional Learning Day
Investigate the concepts of surface area, measurement, ratio and proportion through a visual and kinesthetic mathematical investigation. Participants will be presented with the challenge of calculating how many sheets of toilet paper it would take to wrap one of their group members using a limited selection of tools. This session will provide teachers with a wonderful hands-on, minds-on activity that could easily be implemented into any classroom!
Session A-3: The Box Problem – An Introduction, Ruth Dover
Session A-3: The Box Problem – An Introduction, Ruth Dover
Professional Learning Day
Create some simple boxes with paper and scissors. Then we'll measure the height, area of the base, and the volume. Find formulas, find regressions, and graph the functions. It's a simple activity to engage students and combine many different aspects of mathematics.
Session C-2: “It Is Easy As Pi”, Christine L. Moskalik, Carmela Jones
Session C-2: “It Is Easy As Pi”, Christine L. Moskalik, Carmela Jones
Professional Learning Day
Participants will work together using pi to try to open an ancient chest filled with treasure!! The chest is protected by a passcode that can only be determined through the activities within the lesson. Enjoy a progressive exposure to pi through this two-part lesson (total 110 minutes) offering a FUN storyline within the context of geometry and circles. With "pi-day" right around the corner, this hands-on, fun, inquiry-based lesson is sure to be a hit with your budding mathematicians.
Session B-1: Pipelines And Oil Spills!, Patrick Young
Session B-1: Pipelines And Oil Spills!, Patrick Young
Professional Learning Day
Don’t miss this hands-on approach to middle school math. Participants will construct an actual pipeline from inexpensive materials and record evidence of leakage. They will then conduct an experiment and create a model relating liquid volume and spill area. They will apply their model to determine how much liquid leaked from their pipeline.
Session B-3: Mathematical Games, Puzzles, And Diversions, Steven M. Condie
Session B-3: Mathematical Games, Puzzles, And Diversions, Steven M. Condie
Professional Learning Day
Delve into the exciting world of math through games, puzzles and other sources! Participants shall try their luck and test their skill at these diversions. Participants will leave this session with a wealth of mathematical activities appropriate for students of all ages.
Session B-2: The “Roll” Of Statistics In Modeling - It All Adds Up, Richard Stalmack, Janice Krouse
Session B-2: The “Roll” Of Statistics In Modeling - It All Adds Up, Richard Stalmack, Janice Krouse
Professional Learning Day
The common core practice standards ask us to teach students to propose mathematical models and test their viability. Participants will do an experiment, collect data and use technological tools to combine modeling, analysis and basic statistics. Participants should bring a laptop, if possible; otherwise, bring a graphing calculator.
Session A-2: From Polynomial To Rational Functions: Flip!, Ruth Dover
Session A-2: From Polynomial To Rational Functions: Flip!, Ruth Dover
Professional Learning Day
Ah HA! Making the connection between polynomial functions, rational functions and using reciprocals! Join us to flip, not flop, with trig for your classroom.
Session C-2: Problem-Based Mathematics: You Reap What You Sow, Nicole Ross, Lindsey Herlehy
Session C-2: Problem-Based Mathematics: You Reap What You Sow, Nicole Ross, Lindsey Herlehy
Professional Learning Day
Approach problem-based mathematics through a historical perspective! Join us to learn a fun, hands-on approach to examining the science behind crop rotation systems originally implemented during the Medieval Period. This activity requires students to mathematically evaluate the efficiency of a crop rotation system, strategically complete an integers-based crop puzzle, and evaluate crop yield and profit through data analysis. This activity integrates a variety of middle school mathematics concepts.
Session A-1: Implementing Common Core In Middle School Math, Karen Togliatti
Session A-1: Implementing Common Core In Middle School Math, Karen Togliatti
Professional Learning Day
This session will focus on implementing Common Core Middle-School Mathematics Standards using student-centered activities. Participants will receive three hands-on activities (one each at grades six, seven, and eight) to take back to their classrooms.
Session B-2: Build Student Engagement, Mental Math, And Reasoning With "Math Talks", Sendhil Revuluri
Session B-2: Build Student Engagement, Mental Math, And Reasoning With "Math Talks", Sendhil Revuluri
Professional Learning Day
"Math talks" are quick routines that you can implement in your classroom within days. They can raise engagement, build efficient, accurate, and flexible mental math strategies, and help students construct arguments and critique reasoning. We will engage in math talks, analyzing how they can be enacted in the classroom and designed for specific goals or respond to specific misconceptions. Participants will learn about math talks that support understanding of number, algebra, and other domains.
Session B-1: Geometry In Art & Architecture, Julie Dowling
Session B-1: Geometry In Art & Architecture, Julie Dowling
Professional Learning Day
Math is all around us! Discover how to implement geometry lessons using art and architecture that the students see around them every day.
Session A-2: Cycloids!, Ruth Dover
Session A-2: Cycloids!, Ruth Dover
Professional Learning Day
This session includes a hands-on exploration to see graphs of different types of cycloids. Participants will use trigonometry to create the parametric equations for the graphs. This topic lends itself nicely to projects for pre-calculus students. Software will be shown to help see more examples and patterns.
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio
Professional Learning Day
Many topics that fall under the umbrella of Discrete Mathematics cut across the traditional high school curriculum areas of algebra, geometry, and pre-calculus. Come try some classroom-ready hands-on Discrete Mathematics activities that illustrate the true interconnectedness of mathematics.