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Document Camera for the 21st Century Classroom

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Document Camera for the 21st Century Classroom

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Texas Instrument Calculators for the 21st Century Classroom

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Texas Instrument Calculators for the 21st Century Classroom

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TinkerPlots for Developing Mathematic Fidelity

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TinkerPlots for Developing Mathematic Fidelity

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Here is a fantastic resource for lesson planning a productive and meaningful classroom.

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Mathematics has beauty hidden within, you just have to be open to find it.

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The surprising beauty of mathematics | Jonathan Matte | TEDxGreensFarmsAcademy

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If we were to model the pathway of the second hand around a clock:
a. What number would you set as the initial value?
b.  What would the y-intercept of the graph of your function be?
c.  How long would the period, or length of a cycle be?
d.  Which function would you choose to model your clock?  Could you use either?
e.  Write a function to model the path of the second hand on a clock.  Relate aspects of your function to the graph and to the clock.

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Phi and the Fibonacci sequence can be found all throughout nature. IT is the sequence in which life grows.

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Shells grow in the spiral pattern according to "the golden ratio" which approaches the number Phi.

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Sunflower seeds grow in a spiral pattern. The amount of spirals going in and out are numbers in the fibonacci sequence.

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Bees will naturally create hexagonal homes for their young to live in.

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Certain species of
Broccoli and cauliflower grow in a fractal spiral pattern.

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This is a fun activator that explores surface area of a cylinder that is missing the top face.

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This unit contains tasks on shape, congruence, mechanical linkages, triangle sum, Pythagorean theorem, and diagonal theorems.

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Lesson Planning support

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The first in the series of Articles.  The articles introduce a deeper understanding of grade school mathematics in a way that other's can understand by employing human's reasoning and sense making capabilities.

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A productive model to support the development of meaningful mathematics within a classroom.

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This iceberg has formed the shape of a parabola.

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The way the water droplets weigh the web down creates parabolic shapes in this web.

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Teaching math also involves helping students develop productive habits of mind that will prepare them for the 21st century jobs that are not in existence yet.

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Geogebra can be used to model real life situations to reveal special properties hidden within our world!

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This can help students visualize the connections between the unit circle and the sine and cosine functions by measuring angle and the height and width of the point around the circle.

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A fun way to explore how to inscribe circles within triangles is with the deathly hallows!

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What shapes can be created by slicing a cube?

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What shapes can be created by slicing a cube?

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Move points to create different planar slices through the cube.

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Geogebra can help us visualize proofs!

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Mathematics: Modeling Our World: Unit 8, Lesson 5

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Mathematics: Modeling Our World: Unit 8, Lesson 5

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This lesson explores quadratic functions in vertex form, connecting the equation to the visual graph.

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Mathematics: Modeling Our World: Unit 8, Lesson 4

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Mathematics: Modeling Our World: Unit 8, Lesson 4

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This lesson explores methods for solving quadratic models.

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Mathematics: Modeling Our World: Unit 8, Lesson 3

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Mathematics: Modeling Our World: Unit 8, Lesson 3

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This lesson explores confirming how students should confirm that a model is functioning to model a situation.

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Mathematics: Modeling Our World: Unit 8, Lesson 

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Mathematics: Modeling Our World: Unit 8, Lesson 

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The start of this lesson has a program that students can enter into their graphing calculator to calculate probabilities.

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Mathematics: Modeling Our World: Unit 8, Lesson 1

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Mathematics: Modeling Our World: Unit 8, Lesson 1

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This lesson introduces a scenario, and invites students into the mathematical modeling world exploring a real life problem.

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This article is about how to assess group work through listening to the students' speak about the mathematics they are exploring, and how to motivate students.

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Developing Persistent and Flexible Problem Solvers with a Growth Mindset

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Developing Persistent and Flexible Problem Solvers with a Growth Mindset

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This is a case study of a teacher who tries to support students in their efforts to become problem solvers.

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Student Disposition in Respect to Mathematics

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Student Disposition in Respect to Mathematics

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What current research is saying is that student disposition highly affects their learning potentials. The article talks about student disposition as a construct with multiple levels.

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More ways of enhancing motivation for Mathematics is to help students develop a self determination through offering many opportunities to be right, and also provide problems that spark curiosity!

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This NCTM has tasks that support students visualizing probabilities and using Fathom to understand problems.

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This NCTM article supports students reasoning with probability.

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This NCTM task highlights the importance of variation, and has tasks to help students reason with probability.

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Using GeoGebra is a deeper way to explore and prove many problems we may encounter, like this problem, which is a minimizing distance problem.

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Why is it so important that students be pattern sniffers? Why is discovering patterns so important to mathematics?

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Everything that is wrong with how Mathematics is taught, and ways that we can fix the issues that plague our schools.

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This video explores the mathematics behind paper folding.

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Folding Axioms (Mathematics of paper folding)

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How to make a 6 sided Rhombus Hexaflexagon which makes mathematics fun.

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Making hexflexagons will interest students to learn how this is possible!

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Doerr, H.  Pratt, D. (2008) The learning of mathematics and mathematical modeling (1).pdf

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This article discusses the importance of interactive geometry software in exploring the mathematics behind linkages, which are used in every day life, and beneficial to engineering and problem solving.

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Math is not only used to solve problems, it can also be for fun, wonder, and amazement!

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Students should be supported through discovering theorems on their own.  This article from NCTM's Mathematics Teacher has many group worthy exploratory tasks to bring students to an understanding of theorems related to parallelograms.

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This NCTM article introduces a problem and lesson that has students exploring the Pythagorean theorem in a different light.

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This chapter introduces the concept of Instrumental Genesis, which is a journey one takes when getting accustomed to new tools and technologies.

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Highlights of Research on Learning School Geometry

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Highlights of Research on Learning School Geometry

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A great resource of the current research happening involving how students learn geometry to illuminate the best practices for teaching geometry.

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Arguments for using Interactive or Dynamic technologies within a classroom and the best methods of doing so to teach Geometry.

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Lesson Studies are very important to developing teachers. This NCTM article also introduces the 4-Column Lesson Plan template to prepare for each day's lesson and the potential thinking of students.

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Making the Most of Mathematical Discussion

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Making the Most of Mathematical Discussion

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This NCTM article is about how to facilitate meaningful mathematical discussions between students. The goal is for the teacher to facilitate, and the students to speak and comment on each other's understandings.

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Developing Understanding through Problem Solving

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Developing Understanding through Problem Solving

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Students' learning should come through exploring problems and trying to solve them naturally, rather than being told a rule, and then having to apply it. Deeper understanding is reached when students come to the knowledge on their own.

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What is computational thinking, how does it benefit students, and how can teachers promote it within the classroom.