Inquiry and Connections
This approach to learning is considered a “discovery” approach to learning.
This form of testing is a key consideration for developing and implementing mathematics programs for gifted students.
According to Hembree and Dessart 1986, the use of these tools increases conceptual understanding and improves student attitudes toward math.
What is more depth and breadth of content
What is the gain for faster pacing in a GT math class?
: This kind of exploration is what gifted math students need in the classroom.
In an inquiry-based learning model, these kind of materials are used to help students draw conclusions from concrete representations of ideas.
Students who perform at or above this percentage of mastery on desired objectives should be placed in more advanced mathematical classes.
Proof, Logic, Systems, Cycles, or Models
What are abstract ways to organize curricula?
The new class still needs to be paced with giftedness in mind
What does moving students to a higher grade level alone meet the needs of gifted learners?
Gifted mathematicians should be using this habit of mind on a daily basis.
The type of long-term projects gifted students can work on independently or in groups.
This factor could cause gifted students to begin to feel negatively towards their academic subjects.
Two methods of reasoning through problems and drawing conclusions about new situations.
What are inductive and deductive reasoning?
Students who are interested in a future in mathematics should learn this important skill.
What is programming?
This is considered one way to connect one area of study or discipline as an extension to the real-world.
In order to document real growth and understanding in a math class, multiple means of assessment are important for gifted students.
What is Performance based tasks, journals, presentations, independent or small group projects?
Whole group discussions using Induction, Deduction, Analysis, and Synthesis.
What are ways for math teachers to ensure higher order reasoning in the classroom?
Higher level of complexity and abstraction for GT math students.
By middle school, students should be exposed to this powerful tool that helps make mathematical discoveries.
A means to provide support, evidence, or integrate knowledge to multiple content areas.
Two cautions are in order with regard to special arrangements for advanced mathematics learning. Give an example of one of these cautions.
What is when students should work at least some of the time in which they are able to interact with others of their ability level and readiness and long term planning should take place to ensure students do not run out of options for meaningful mathematics classes?
Graphic organizers, journal entries and small group discussion
Which classroom activities help to ensure deeper level of understanding?
Allowing students choices of tasks and allowing students to assign point values to problems
What is Self-Selection of depth?
Standard textbooks do not provide these necessary traits that content must provide for mathematically gifted students.
What are depth and breadth?