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Elementary Math

Mathematics Methods for Elementary

What is tracking? When students are placed in a lower-level track or in a “slow” group, expectations decline accordingly
What is an accommodation? is a response to the needs of the environment or the learner; it does not change the task.
What is a modification? changes the task, making it more accessible to the student
What would be a successful environment for doing mathematics? posing worthwhile tasks and then creating an environment where students take risks and share and defend mathematical ideas
What is constructivism? learners are not blank slates but rather creators (constructors) of their own learning
What is sociocultural theory? mental processes exist between and among people in social learning settings, and that from these social settings the learner moves ideas into his or her own psychological realm
Explain the Zone of Proximal Development the way in which information is internalized (or learned) depends on whether it was within a learner’s zone of proximal development
What is Semiotic Mediation? the “mechanism by which individual beliefs, attitudes, and goals are simultaneously affected and affect sociocultural practices and institutions”
What is relational understanding? knowing what to do and why
What is instrumental understanding? doing something without understanding
What is conceptual understanding? knowledge about the relationships or foundational ideas of a topic
What is procedural fluency? knowledge and use of rules and procedures used in carrying out mathematical processes and also the symbolism used to represent mathematics
What is strategic competence? You have a problem; you need to figure out how you will solve it. If at first you don’t succeed, try, try again
What is adaptive reasoning? capacity to reflect on your work, evaluate it, and then adapt, as needed
What is productive disposition? a “can do” attitude
What is classroom discourse? the interactions that occur throughout a lesson
What is revoicing? restating the statement as a question in order to clarify, apply appropriate language, and to involve more students.
What is rephrasing? Asking students to restate someone else’s ideas in their own words
What is reasoning? asks the student what they think of the idea proposed by another student.
What is elaborating? a request for students to challenge, add on, elaborate, or give an example
what is waiting? Quiet time should not feel uncomfortable, but should feel like thinking time
What should be considered during questioning? The level of the question, the type of knowledge, the pattern of questioning, who is answering, and the response to the answer
What is metacognition? refers to conscious monitoring (being aware of how and why you are doing something) and regulation (choosing to do something or deciding to make changes) of your own thought process
What is teaching FOR problem solving? This approach can be summarized as teaching a skill so that a student can later problem solve
What is teaching ABOUT problem solving? involves teaching students how to problem solve, which can include teaching the process (understand, design a strategy, implement, look back) or strategies for solving a problem.
What is teaching THROUGH problem solving? students learn mathematics through real contexts, problems, situations, and models.
What is practice? different problem-based tasks or experiences, spread over numerous class periods, each addressing the same basic ideas.
What is a drill? repetitive, non-problem-based exercises designed to improve skills or procedures already acquired.
What is iteration? measuring the same desktop with a single index card by repeatedly moving it from position to position and keeping track of which areas the card has covered
What are cuisenaire rods? math learning aids for students that provide a hands-on elementary school way to explore math and learn math concepts, such as the four basic arithmetical operations, working with fractions and finding divisors.
What is an isometric drawing tool? 3D drawings. They show three sides, all in dimensional proportion, but none are shown as a true shape with 90 degree corners.
What is a tangram? a Chinese geometric puzzle consisting of a square cut into seven pieces that can be arranged to make various other shapes
What is mathematical discourse? whole-class discussions in which students talk about mathematics in such a way that they reveal their understanding of concepts
What is dynamic geometry software? : computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry.
What is graphical representation software? a category of application program used to create sequences of words and pictures that tell a story or help support a speech or public presentation of information (Power Point)
Created by: cgibbs906