Maine's Curriculum Framework for Mathematics & Science 
 

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  SECTION III - PART 1:

Entering the Profession (cont)


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Essential Preservice Instruction and Experiences

Those who are learning to teach need experiences designed to produce capable teachers who value their own learning. These essential experiences may take place in the natural workplace of scientists and/or mathematicians, in college or university courses, or in schools. Essential preservice instruction must model those best practices described in Framework Section II, engaging teacher candidates in the real learning of scientists and mathematicians. Teacher candidates also need multiple opportunities to have contact with student learners, reflect on their practice, develop other classroom skills and connect to resources.


Modeling Best Practice In All Environments

University and field experiences for preservice teachers must reflect current research in teaching and learning. Beginning teachers should have opportunities to understand the nature and methods of working as a scientist or mathematician by engaging in such activities as mathematical modeling and scientific field study. While learning in a university content or methodology course, observing others teach, or facilitating the learning of others, prospective teachers need to experience and discuss the practices which most effectively allow all learners to grow. Successful learning environments for teacher candidates, whether in the classroom, the field, the laboratory or elsewhere, are places in which Framework Guiding Principles and Content Standards are brought to life.

These statements describe exemplary teacher preparation programs:


Snapshot

A group of preservice teachers is engaged in a study of how bacteria spread. Through initial activities, they have constructed an understanding of how organisms grow, both linearly and exponentially. They have also used mathematical and scientific models, graphs and calculators to understand bacterial growth. Instructors have encouraged conversation as learners make connections, eliminate misunderstandings and make sense of bacterial population. Through classroom practice and discussion, these future teachers and their instructors have worked together on the essential concepts: asexual reproduction, population growth and limiting factors, exponents as operators, and linear versus exponential patterns.

Now, as small groups work with real application problems involving the exponential spread of bacteria, the learners have a deeper understanding of the urgency in halting bacterial growth cycles. Through written reflection, they express what and how they have learned. Through discussion of their writing, they gain insight into the diverse needs of learners.

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Contact with Student Learners

Future teachers gain great insights into learning and teaching when they enter the practice arena. In the spirit of early and continuous field experiences, contact with student learners needs to occur often to bring meaning to pedagogy courses. Frequent, rich experiences with student learners support preservice teachers' foundation in developmental psychology and the elements of best teaching practice.

These statements describe exemplary teacher preparation programs:

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Snapshot

A group of preservice teachers joins a fifth-grade class in Acadia National Park for a transect study to measure the effects of foot traffic on lichen growth and diversity of lichen types. First they string a 30-meter line across a rocky area to create the transect. Working in mixed groups, students and preservice teachers examine a 2-centimeter by 100-centimeter area directly underneath the line and record their data, noting the types, size and health of the lichen underneath the transect line. All learners examine and compare data from the various groups.

Back in a workroom, college and elementary students enter information into a spreadsheet and search together for patterns in the data. After a large group discussion, they decide to write a report of their work, including recommendations to the Acadia National Park Services. One recommendation suggests placing boundary markers to denote those areas where foot traffic might be prohibited or limited.

Afterward, the fifth-grade teacher meets with the college students and their instructor to discuss classroom management issues in the field as well as how to pose questions which promote inquiry. Preservice teachers are more attuned to the need for both in light of their common experience.

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Reflecting on Practice

Future teachers must reflect often on their practice, closely examining student learning and their own developing knowledge and skills in teaching. While reflection is often a solitary act, preservice teachers' ability to reflect on learning and teaching can be enhanced through the insightful observations and knowledge of supportive professionals. This kind of feedback can help the teacher candidate consider and implement changes in practice.


These statements describe exemplary teacher preparation programs:

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Snapshot

A group of preservice teachers in the field has noticed that their students' work in geometry is not connected to the actual three-dimensional world, but remains connected for the most part to a two-dimensional study. The mathematics methods instructor who works with these prospective teachers in the field has decided to use the reflective practice model that involves teachers in a day-long series of activities, with subsequent teaching and reflection on that teaching. The day's activities include the instructor's demonstration lesson showing best practice in three-dimensional perspective work, a group discussion, experiential work which extends teachers' personal content learning in this area, a planning session to design a learning experience for the students with whom teachers are currently placed (K-12), and time for teachers to reflect on their personal learning for that day.

The teachers note the flurry of activity during the instructor's demonstration lesson with seventh-graders and the extent of knowledge students have gained at the end of two hours. Students show they have developed a language for work on perspective and some fairly sophisticated notions of relationships between real objects and the views of those objects from different perspectives. Preservice teachers explore their own knowledge through a series of activities that engage them in work and discussion with their peers.

The prospective teachers plan activities for their grade, working in grade level clusters of K-2, 3-5, 6-8, and 9-12. Some agree to watch the teaching of a peer so that feedback on two levels is possible. In carrying out their activities with the students, teachers are asked to write about what students have learned, what they themselves have learned, and how they have dealt with emerging challenges in the classroom. This reflection becomes the substance of a discussion on their practices in assessment, classroom management, material use, and instructional strategies.

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Developing Other Skills

Exemplary teacher preparation programs also help prospective teachers develop other skills, some relating to student learning, others relating to parents and community.


These statements describe such programs:

Connecting to Resources

Access to local, regional and national organizations and other resources provides the preservice teacher with a broader knowledge base for classroom studies and a greater bank of resource possibilities for their own students. Supervising teachers and college instructors provide models for using these resources.

These statements describe exemplary teacher preparation programs:


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