Cross-Curricular Math Skills Flashcards
Manipulatives
objects used by students to illustrate and explore mathematical concepts, such as to represent numbers in an equation
Concrete Operational Stage
the third stage of Piaget’s Theory of Cognitive development, occurring from 7 years old to adolescence, in which children begin to think logically and use inductive reasoning
Task Analysis
Breaking a skill into small steps to guide students toward accomplishing a goal
Symbolic Stage / Representational Stage
Drawing pictures or symbols to represent numbers in an equation
Proportional Manipulatives
objects that are proportional to each other with respect to shape and size
Functional Curriculum
instruction and practice in completing the activities of daily living, usually provided to life skills students
Number Line
a straight line where each number is equal distance from the next one
Line Graph
a visual representation of data which shows change over time or in response to a manipulated variable
Pie Chart
a type of chart in which a circle is divided into sectors that each represent a proportion of the whole; helpful when analyzing the relative distribution of categories
Graphic / Pictorial Representation
graph or picture that serves as a visual model of a mathematical equation
Non-proportional Manipulatives
objects that are not proportional to each other with respect to shape and size. Often all of the items are the same size.
Remediation
providing students further instruction on skills that have already been mastered or moved on from by the rest of the class
Concrete Representations
Using physical pieces to represent mathematical problems
Abstract Thinking
Using numbers or letter variables in an equation
Formative Assessments
ongoing evaluations to monitor student progress
Manipulative
a physical object to help students move from concrete to abstract reasoning
Bar Graph
a visual representation of data which compares values in different categories
Explicit Teaching
the process of teaching by communicating clear expectations and giving specific feedback to students
Symbolic Representation
A model using symbols or variables to display a mathematical concept
Numeric Representation
A model using numbers to display a mathematical concept.
Progress Monitoring
periodic assessments to monitor student growth and evaluate the effectiveness of instruction
Verbal Representation
word problems and verbal descriptions of how to solve a problem or what the solution means
