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La sección 2 explica el problema físico inicial y cómo resolverlo. Las siguientes secciones desarrollan la investigación matemática para resolver el problema general. Así, las secciones 3, 4 y 5 cubren paso a paso los casos en los que se altera la variable dependiente de una función y la sección 6 deja abierto como trabajo de investigación que cada uno de vosotros estudie lo que ocurre si lo que se altera es la variable independiente.

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Possible strategies to use in class.

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25 other routine

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1. Instructor writes one statement on board.

2. Students arrange themselves in numerical columns according to whether they agree.

3. Students have to justify their choice.

4. Possible discussion...

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Students have a silent conversation about a topic through writing.
This protocol allows even the quietest, shiest student to share equally.

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1. The teacher shows an image.

2. The students have to fill in a table containing what they see/what they think/ what questions they have about it.

3. A discussion about their answers follows, including whether their classification see/think was correct.

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1. Instructor suggests an unknown concept.

2. Students have to write: three words, two questions and one simile/metaphor related to it.

3. Activity introducing/explaining/discussing the concept.

4. The students writes a small summary/sentence connecting what they thought the concept was to what it actually is (the bridge).

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Routines that make the students' thoughts visible.
'Making Thinking Visible', Project Zero.

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Visible Thinking is a flexible and systematic research-based conceptual framework, which aims to integrate the development of students' thinking with content learning across subject matters.

Visible Thinking began as an initiative to develop a research-based approach to teaching thinking dispositions. The approach emphasized three core practices: thinking routines, the documentation of student thinking, and reflective professional practice. It was originally developed at Lemshaga Akademi in Sweden as part of the Innovating with Intelligence project, and focused on developing students' thinking dispositions in such areas as truth-seeking, understanding, fairness, and imagination. It has since expanded its focus to include an emphasis on thinking through art and the role of cultural forces and has informed the development of other Project Zero Visible Thinking initiatives, including Artful Thinking, and Cultures of Thinking.

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Visible Thinking is a flexible and systematic research-based conceptual framework, which aims to integrate the development of students' thinking with content learning across subject matters. Visible Thinking began as an initiative to develop a research-based approach to teaching thinking dispositions. The approach emphasized three core practices: thinking routines, the documentation of student thinking, and reflective professional practice.

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Collaboration.

Creativity.

Critical Thinking.

Comunication

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Setting a learning objective.

Crosscurricular integration.

Monitoring.

Different groupings.

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Students think individually about topic, pair to discuss their ideas and then share it with the whole group.

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Students are divided into two circles (inner/outer), the inner one discusses the topic one at a time with the help of a talking stick, then both circles switch places.

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The students literally walk about the class.
Example: write down on +/-/Interesting charts opinions aboutthe school placements.

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Variety

Interaction

Rehearsal

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Each a student has a piece of the information/knowledge and they work together to get the whole idea.

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Transmit information/knowledge to a few students, and these help the rest learn it.

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You show all the students how to do something by modeling it yourself.

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Like organizer, timer, scribe/recorder, language/calculations monitor, ...

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Number our and form same # groups, choose an animal and order alphabetically, ...

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Same level, knowledge expertise, age, gender, ...

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Different levels, knowledge expertise, age, gender, ...