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How should teachers assess the understanding of basic mathematical concepts in students?
Through frequent oral quizzes
By observing group work and discussions
Using standardized tests every semester
Implementing at-home assignments for parents
The correct answer is: By observing group work and discussions
Assessing students' understanding of basic mathematical concepts through observation of group work and discussions is an effective method because it allows teachers to gain insight into students' thought processes, collaborative skills, and ability to articulate their understanding of concepts. During group work, teachers can observe how students approach problems, apply mathematical reasoning, and interact with peers to solve tasks, which provides a richer understanding of their conceptual knowledge and application skills compared to traditional testing methods. Furthermore, observing discussions can reveal how well students grasp mathematical language and terminology, as well as their ability to communicate ideas clearly. This formative assessment approach is critical in informing instruction, as it enables teachers to identify misconceptions and provide targeted support for individual or group needs. In this way, formative assessments through observation allow for a more holistic view of a student's understanding in a less pressured environment compared to standardized tests or quizzes, making it easier to gauge actual comprehension and encourage a growth mindset.