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How to clear history in math input panel
How to clear history in math input panel














These questions become the basis for guiding the curriculum in Barb’s class.

how to clear history in math input panel

After much discussion each group comes up with a priority list of questions, rank-ordering the questions about themselves and those about the world.īack together in a whole group session, Barb Johnson solicits the groups’ priorities and works toward consensus for the class’s combined lists of questions. After the students list their individual questions, Barb organizes the students into small groups where they share lists and search for questions they have in common. “If they’re your questions that you really want answered, they’re neither silly nor little,” replies the teacher. What happens in her classroom that gives it the reputation of being the best of the best?ĭuring the first week of school Barb Johnson asks her sixth graders two questions: “What questions do you have about yourself?” and “What questions do you have about the world?” The students begin enumerating their questions, “Can they be about silly, little things?” asks one student. However, every year parents sending their fifth-grade students from the local elementary schools to Monroe jockey to get their children assigned to Barb Johnson’s classes. Standardized test scores are about average, class size is small, the building facilities are well maintained, the administrator is a strong instructional leader, and there is little faculty and staff turnover. By conventional standards Monroe is a good school. Consider the case of Barb Johnson, who has been a sixth-grade teacher for 12 years at Monroe Middle School. However, their ability to do so requires more than a set of general teaching skills. Some teachers are able to teach in ways that involve a variety of disciplines.

how to clear history in math input panel

The misconceptions are that teaching consists only of a set of general methods, that a good teacher can teach any subject, or that content knowledge alone is sufficient. These conceptual barriers differ from discipline to discipline.Īn emphasis on interactions between disciplinary knowledge and pedagogical knowledge directly contradicts common misconceptions about what teachers need to know in order to design effective learning environments for their students. This means that new teachers must develop the ability to “understand in a pedagogically reflective way they must not only know their own way around a discipline, but must know the ‘conceptual barriers’ likely to hinder others” (McDonald and Naso, 1986:8). For example, expert teachers are sensitive to those aspects of the discipline that are especially hard or easy for new students to master. But knowledge of the discipline structure does not in itself guide the teacher. In short, their knowledge of the discipline and their knowledge of pedagogy interact. Expert teachers know the structure of their disciplines, and this knowledge provides them with cognitive roadmaps that guide the assignments they give students, the assessments they use to gauge students’ progress, and the questions they ask in the give and take of classroom life. Pedagogical content knowledge is different from knowledge of general teaching methods.

#How to clear history in math input panel how to#

To use Shulman’s (1987) language, effective teachers need pedagogical content knowledge (knowledge about how to teach in particular disciplines) rather than only knowledge of a particular subject matter. Discussion in Chapter 2 also differentiated between expertise in a discipline and the ability to help others learn about that discipline. For example, the evidence needed to support a set of historical claims is different from the evidence needed to prove a mathematical conjecture, and both of these differ from the evidence needed to test a scientific theory.

how to clear history in math input panel how to clear history in math input panel

Different disciplines are organized differently and have different approaches to inquiry. We noted in Chapter 2 that expertise in particular areas involves more than a set of general problem-solving skills it also requires well-organized knowledge of concepts and inquiry procedures. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. Effective Teaching: Examples in History, Mathematics, and Science














How to clear history in math input panel