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TExES Competency 013

Mathematics Instruction

The 6 principles that should guide mathematics instruction: Equity, Curriculum, Teaching, Learning, Assessment, Technology
High expectations and strong support for all students Equity
Focused on mathematics and well- articulated concepts across the grades. Curriculum
Requires understanding of what students know and need to learn and then challenging and supporting students to learn it well. Teaching
Students must learn mathematics with understanding actively building new knowledge from experience and previous knowledge. Learning
_____ should support the learning of important mathematics concepts, and furnish useful information to both teachers and students. Assessment
_____ is essential in teaching and learning mathematics; it influences the teaching of mathematics and enhances student's learning. Technology
What are the content standards for math: Numbers and Operations, Algebra, Geometry, Measurement, Data Analysis and Probability
This standard deals with understanding numbers, developing meanings of operations, and computing fluently. Number and Operations
___ is best learned as a set of concepts and techniques tied to the representation of quantitative relations and as a style of mathematical thinking for formalizing patterns, functions, and generalizations. Algebra
Calls students to analyze characteristics of geometric shapes and make mathematical arguments about the geometric relationship, as well as to use visualization, spatial reasoning, and geometric modeling to solve problems. Geometry
This standard is crucial in the school mathematics curriculum because of its practicality and pervasiveness in so many aspects of life. Includes understanding the attributes, units, systems, and processes of measurement as well as applying the techniques. Measurement
This standard emphasizes learning appropriate statistical methods to analyze data, making inferences and predictions based on data, and understanding and using the basic concepts of probability. Data Analysis and Probability
The process standards for Math are: Problem solving, Reasoning and Proof, Communication, Connections, Representations
The Texas Mathematics Standards: Number Concepts, Pattern and Algebra, Geometry and Measurement, Probability and Statistics, Mathematical Processes, Mathematical Perspectives, Mathematical Learning and Instruction, Mathematical Assessment, Professional Development
___ learning through examples. Inductive Teaching
____ learning step by step. Deductive Approach
The sensorimotor stage is from : Birth-2 years
Preoperational Stage is from: Symbolic functioning, concentration, intuitive thought, ego-centrism, and inability to conserve 2 years-7 years
Concrete Operational stage is from: Exhibit the developmental processes of: decentering, reversibility, conservation, serialization, classification, and elimination of ego centrism. 7 years-11 years
Formal Operational Stage is from: The characteristics of this stage focus on the ability to use symbols and think abstractly. 11 years-adult
Characterized by a child focusing only on one aspect of a situation or problem. Centration
Understanding that quantity, length, or number of items is unrelated to the arrangement or appearance of the object or items. Conservation
____where the child can take into account multiple aspects of a problem to solve it. Can form conclusion based on reason rather than perception Decentering
___ where the child understands that the objects can be changed, then returned to their original state. Can determine that 4+4=8 & 8-4=4 Reversibilty
___ where the child understands that quantity, length, or number of items is unrelated to the arrangement or appearance of the object. Can discern that if water is transferred to a pitcher it will conserve the quantity and be equal to the other filled cup Conservation
___ where the child is able to arrange objects in an order according to size, shape, or any other attribute. Can arrange geometric forms by shape, size, color, and thickness of the form. Seriation
___ where the child can name and identify sets of objects according to appearance, size, or other characteristic. Can arrange objects based on characteristics. C;assification
__ where the child is able to view things from another's perspective. Can retell a story from another child's perspective. Elimination of Edocentrism
Children can benefit from group instruction and the use of concrete objects and__? Can be used to provide a "hands-on-learning" for kindergarten to high school students. Manipulatives
___ are the projects, questions, problems, constructions, applications, and exercises in which students engage. Tasks
__ refers to the way of presenting thinking, talking, and agreeing and disagreeing that teachers and students use to engage in these tasks. Discourse
__represents the setting for learning. Environment
___is the systematic reflection in which teachers engage. Analysis
Professional Standards for Teaching Mathematics are: Classrooms as mathematical communities, logic an mathematical evidence as verification, mathematical reasoning, problem solving, connecting mathematics, its ideas, and its applications
____ is the organization off curriculum content based on themes or topics. Thematic instruction
Created by: jwilliams2626