In this case the teacher is helping students develop a wall dictionary …
In this case the teacher is helping students develop a wall dictionary to build academic vocabulary about proportional relationships and students are defining and describing the relationships among graphs, tables, and equations, sharing their understanding with their peers in order to create ownership of the terms.
This case shows a teacher facilitating group work on a real-life problem …
This case shows a teacher facilitating group work on a real-life problem in calculus and students working collaboratively to connect the surface area and volume of a sphere using integration to a real-world application.
In this case the teacher is facilitating students working cooperatively to find …
In this case the teacher is facilitating students working cooperatively to find the areas of all surfaces of two cylinders and students are working in groups to come up with a conjecture explaining the effect changing the dimensions of these cylinders has on surface area.
This case shows a teacher working with small groups of students using …
This case shows a teacher working with small groups of students using mathematical discourse and reasoning to describe and discuss what they see. Students use manipulatives to move from verbal representation of patterns to rules or equations.
This case shows a teacher helping her students understand hexagon trains and …
This case shows a teacher helping her students understand hexagon trains and students engaged in learning how to recognize patterns and represent the linear growth as their trains grow.
This case shows a teacher facilitating a discussion based on data the …
This case shows a teacher facilitating a discussion based on data the students had collected and students seeing similarities and differences in the data, determining visual representations of Riemann and Trapezoidal sums, and drawing conclusions together as a class.
In this case the teacher is facilitating students in their basic understanding …
In this case the teacher is facilitating students in their basic understanding of a chemical reaction and students are planning and conducting a simple investigation based on their own questions and interests, working collaboratively while learning the significance of measuring accurately so data and results are reliable and valid.
In this case the teacher is facilitating small groups who are reviewing …
In this case the teacher is facilitating small groups who are reviewing function and limit properties by connecting and manipulating graph and function cards.
This case shows a teacher observing her students as they depend on …
This case shows a teacher observing her students as they depend on their prior knowledge to work on a force and motion activity, using scientific procedures to see how far a toy car will go depending on ramp height.
In this case the teacher is helping to bridge students' previous knowledge …
In this case the teacher is helping to bridge students' previous knowledge regarding ratios to new understanding incorporating proportional reasoning and students are working on a student response sheet in groups, discussing various strategies for creating tables using the given ratios and tiles.
In this case the teaching is facilitating students creating and analyzing sets …
In this case the teaching is facilitating students creating and analyzing sets of parametric equations to model projectile motion and students are using prior knowledge of physics and calculus to generate equations that model motion while engaged in mathematical discourse.
In this case the teacher is assisting students in constructing arguments for …
In this case the teacher is assisting students in constructing arguments for using a specific measure of center to represent a data set and students are using their own grades to determine which measure of center they should use to represent their calculations, sharing their reasoning and supporting their arguments with their peers.
In this case the teacher is guiding students through the construction of …
In this case the teacher is guiding students through the construction of conic sections and students are investigating the relationships among foci, ellipse shape, focal points, directrix, and parabola shape by writing their own definitions of a circle while describing how to construct one with string and pencil.
This case shows a teacher working with students on a graphing activity …
This case shows a teacher working with students on a graphing activity involving perpendicular bisectors and students communicating mathematically to explore and discover geometric concepts through manipulations on their calculators.
In this case the teacher is introducing volume of rectangles and students …
In this case the teacher is introducing volume of rectangles and students are using manipulatives to build different 3D shapes, developing and defending their own strategy for discovering the formula for volume.
In this case the teacher is engaging students in discussion about the …
In this case the teacher is engaging students in discussion about the similarities between forms of equations and students are converting algebraically between multiple forms to solve a multi-step real-world problem, applying properties of operations and assessing the reasonableness of answers while sharing their results with the class.
This case shows a teacher facilitating an activity about logarithms and exponents …
This case shows a teacher facilitating an activity about logarithms and exponents as students investigate logarithms and how to use a calculator to show their relationship.
In this case the teacher is using post-its with positive and negative …
In this case the teacher is using post-its with positive and negative rational numbers and students are working together to place each one on a number line, converting the numbers to different forms, and then using sentence stems to explain their decisions.
This case shows a teacher facilitating student discussion and students posing clarifying …
This case shows a teacher facilitating student discussion and students posing clarifying questions to their peers to understand how equations of periodic data were created.
In this case the teacher is striving to increase algebraic awareness with …
In this case the teacher is striving to increase algebraic awareness with his students and students are involved in an activity using manipulatives and writing expressions and equations to a real-life problem.
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