Case Studies in Science Education: Erien

Erien strives to include and manage class discussions in science learning and wants to increase her students' higher-level thinking skills.,The segment shows the teacher giving an assignment to the class to design a building near the wetlands and a stream. They are given specific roles to represent as part of the planning process and they must defend their positions. They then make a presentation to the town meeting to discuss the pros and cons of the building development.

Looking at Learning...Again, Part 1: Workshop 8. The International Picture

This workshop offers an opportunity to investigate various aspects of the Third International Mathematics and Science Study (TIMSS), other than the test scores themselves. Distinguished Professor of Educational Psychology William Schmidt presents differences in curricula, textbooks, and teaching practices around the world, and a group of community members discuss how the TIMSS results reflect societal and cultural values.,Professional development activity for viewers to think about, write down a

Private Universe Project in Mathematics: Workshop 4: Thinking Like a Mathematician

What does a mathematician do? What does it mean to think like a mathematician? This program parallels what a mathematician does in real life with the creative thinking of students.,How a Mathematician Approaches Problems - Fern Hunt, a mathematician at the National Institute for Standards and Technology, is seen as she collaborates with colleagues to solve difficult technical problems. Using the metaphor of the childrenÂ’s game Towers of Hanoi, she explains her approach to solving problems. 15 m

Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas

One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teacherÂ’s role in fostering thoughtful mathematics.,Â“EquationsÂ” In Colts Neck, New Jersey, fourth-grade teacher and former Rutgers researcher Amy Martino finds out that what started as a 15-minute Â“warm-upÂ” question evolves into an interesting discussion about equations.

Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas

One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teacherÂ’s role in fostering thoughtful mathematics.,Englewood, NJ Â— Fourth Grade: Towers Fourth-grade teacher Blanche Young attempts the Towers activity for the first time with her students. She feels that their work is valuable, but questions how much time these open-ended activities are taking away from the standard curricul

Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas

One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teacherÂ’s role in fostering thoughtful mathematics.,Englewood, NJ Â— Fourth Grade: Towers Fourth-grade teacher Blanche Young attempts the Towers activity for the first time with her students. She feels that their work is valuable, but questions how much time these open-ended activities are taking away from the standard curricul

Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas

One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teacherÂ’s role in fostering thoughtful mathematics.,Englewood, NJ Â— Fourth Grade: Towers Fourth-grade teacher Blanche Young attempts the Towers activity for the first time with her students. She feels that their work is valuable, but questions how much time these open-ended activities are taking away from the standard curricul

Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas

One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teacherÂ’s role in fostering thoughtful mathematics.,EnglewoodÂ—Kindergarten: Stacking Blocks In Englewood, New Jersey, a kindergarten teacher uses blocks as mathematical objects in an addition activity.

Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas

One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teacherÂ’s role in fostering thoughtful mathematics.,EnglewoodÂ—Kindergarten: Stacking Blocks In Englewood, New Jersey, a kindergarten teacher uses blocks as mathematical objects in an addition activity.

Private Universe Project in Mathematics: Workshop 4: Thinking Like a Mathematician

What does a mathematician do? What does it mean to think like a mathematician? This program parallels what a mathematician does in real life with the creative thinking of students.,Revisiting Problems After Five Years - Kenilworth 10th graders reexamine the same problem they had last seen in the fifth gradeÂ—the Pizza problem. One student, Michael, uses the binary number system to his advantage.

Private Universe Project in Mathematics: Workshop 4: Thinking Like a Mathematician

What does a mathematician do? What does it mean to think like a mathematician? This program parallels what a mathematician does in real life with the creative thinking of students.,How a Mathematician Approaches Problems - Fern Hunt, a mathematician at the National Institute for Standards and Technology, is seen as she collaborates with colleagues to solve difficult technical problems. Using the metaphor of the childrenÂ’s game Towers of Hanoi, she explains her approach to solving problems. 15 m

Private Universe Project in Mathematics: Workshop 4: Thinking Like a Mathematician

What does a mathematician do? What does it mean to think like a mathematician? This program parallels what a mathematician does in real life with the creative thinking of students.,How a Mathematician Approaches Problems - Fern Hunt, a mathematician at the National Institute for Standards and Technology, is seen as she collaborates with colleagues to solve difficult technical problems. Using the metaphor of the childrenÂ’s game Towers of Hanoi, she explains her approach to solving problems. 15

Private Universe Project in Mathematics: Workshop 3. Inventing Notations

We learn how to foster and appreciate studentsÂ’ notations for their richness and creativity. We also look at some of the possibilities that early work in creating notation systems might open up for students as they move on toward algebra.,15 min. Pizzas in the Classroom In Englewood, New Jersey, Blanche Young, who attended the summer workshop, tries out one of the problems with her fourth-grade students. Later, she meets with Arthur Powell to discuss the lesson. 5 min. New Brunswick, New Jersey

Private Universe Project in Mathematics: Workshop 3. Inventing Notations

We learn how to foster and appreciate studentsÂ’ notations for their richness and creativity. We also look at some of the possibilities that early work in creating notation systems might open up for students as they move on toward algebra.,15 min. Pizzas in the Classroom In Englewood, New Jersey, Blanche Young, who attended the summer workshop, tries out one of the problems with her fourth-grade students. Later, she meets with Arthur Powell to discuss the lesson. 5 min. New Brunswick, New Jersey

Private Universe Project in Mathematics: Workshop 3. Inventing Notations

We learn how to foster and appreciate studentsÂ’ notations for their richness and creativity. We also look at some of the possibilities that early work in creating notation systems might open up for students as they move on toward algebra.,15 min. Pizzas in the Classroom In Englewood, New Jersey, Blanche Young, who attended the summer workshop, tries out one of the problems with her fourth-grade students. Later, she meets with Arthur Powell to discuss the lesson. 5 min. New Brunswick, New Jersey

We learn how to foster and appreciate studentsÂ’ notations for their richness and creativity. We also look at some of the possibilities that early work in creating notation systems might open up for students as they move on toward algebra.,15 min. Pizzas in the Classroom In Englewood, New Jersey, Blanche Young, who attended the summer workshop, tries out one of the problems with her fourth-grade students. Later, she meets with Arthur Powell to discuss the lesson. 5 min. New Brunswick, New Jersey

Private Universe Project in Mathematics: Workshop 2. Are You Convinced?

Proof making is one of the key ideas in mathematics. Looking at teachers and students grappling with the same probability problem, we see how two kinds of proofÂ—proof by cases and proof by inductionÂ—naturally grow out of the need to justify and convince others.,Englewood, New JerseyÂ—Teachers Workshop Englewood, a town with unsatisfactory student test scores, is implementing a long-term project to improve math achievement. As part of a professional development workshop designed in part to give

Private Universe Project in Mathematics: Workshop 3. Inventing Notations

We learn how to foster and appreciate studentsÂ’ notations for their richness and creativity. We also look at some of the possibilities that early work in creating notation systems might open up for students as they move on toward algebra.,Kenilworth Study: Pizzas In the fourth grade, the students encounter counting problems where the solutions cannot be built using standard manipulatives. As he invents his own notation systems, one student, Matt, builds on previous work to arrive at a solution

Private Universe Project in Mathematics: Workshop 2. Are You Convinced?

Proof making is one of the key ideas in mathematics. Looking at teachers and students grappling with the same probability problem, we see how two kinds of proofÂ—proof by cases and proof by inductionÂ—naturally grow out of the need to justify and convince others.,Englewood, New JerseyÂ—Teachers Workshop Englewood, a town with unsatisfactory student test scores, is implementing a long-term project to improve math achievement. As part of a professional development workshop designed in part to give

Private Universe Project in Mathematics: Workshop 2. Are You Convinced?

Proof making is one of the key ideas in mathematics. Looking at teachers and students grappling with the same probability problem, we see how two kinds of proofÂ—proof by cases and proof by inductionÂ—naturally grow out of the need to justify and convince others.,Englewood, New JerseyÂ—Teachers Workshop Englewood, a town with unsatisfactory student test scores, is implementing a long-term project to improve math achievement. As part of a professional development workshop designed in part to give