Which math sequence level solves problems without using objects or drawings?

Prepare for the Hawaii Substitute Teacher Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready to succeed!

The level of a math sequence that focuses on solving problems without the use of objects or drawings is the abstract level. At this stage, students engage with mathematical concepts and problems through symbolic representation and operations, rather than relying on tangible items or visual aids.

In the abstract level, learners are expected to manipulate numbers, formulas, and variables independently, which encourages a deeper understanding of mathematical principles. This approach helps develop critical thinking and problem-solving skills, as students can apply concepts to various scenarios without needing physical representations.

The other options mentioned involve different methodologies. The semi-concrete and concrete levels typically utilize physical objects or drawings to aid comprehension, which is particularly helpful for younger students or those who are just beginning to grasp mathematical concepts. Illustrative approaches might also incorporate visual aids but do not reach the depth of abstract thinking required at the abstract level. Therefore, the abstract level is distinct in its expectation for students to engage with mathematics at a higher cognitive level, focusing on concepts rather than visual or physical representations.

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