Edu7293 Quiz 2 - 6 November 2014

Experimental research involves comparing different groups or conditions to determine the effectiveness of a particular method or treatment. In this case, the school district is comparing the test results of students taught using a traditional teaching method and those taught using a new approach. By comparing the outcomes of both groups, the researchers can determine which method is more effective in improving student performance. This type of research allows for the establishment of cause-and-effect relationships and provides valuable insights for educational practices.

Jerome Bruner's theory emphasized the importance of hands-on learning and the use of concrete materials to enhance understanding. Manipulatives are physical objects that students can manipulate and interact with to explore mathematical concepts. This approach allows students to engage in active learning and develop a deeper understanding of mathematical concepts. Therefore, the extensive use of manipulatives in mathematics classrooms aligns with Bruner's theory.

New teachers of mathematics commonly hold the false assumption that students will benefit from exposure to the same learning environment that was experienced by the teacher. However, this assumption is incorrect because every student has different learning styles, abilities, and needs. What works for the teacher may not work for all students. Effective teaching requires adapting to the diverse needs of students and creating a learning environment that caters to their individual strengths and weaknesses.

Quantitative research is the type of research that involves gathering numerical data and analyzing it. This type of research focuses on measuring variables and using statistical methods to analyze and interpret the data. It aims to provide objective and numerical information about a particular phenomenon or problem. Unlike qualitative research, which focuses on understanding the experiences and perspectives of individuals, quantitative research seeks to identify patterns, trends, and relationships through the use of statistical analysis. Therefore, quantitative research is the correct answer for this question.

A standard is a term that refers to a benchmark against which a state or local school district's curriculum can be compared. It helps determine the extent to which the curriculum addresses nationally-recognized critical outcomes.

Equity refers to the principle of having high expectations and providing strong support for all students. It means ensuring that every student has access to the same opportunities and resources, regardless of their background or abilities. By promoting equity in education, schools aim to close the achievement gap and ensure that every student has an equal chance to succeed. This principle emphasizes the importance of fair and inclusive practices that support the diverse needs of all students.

In Chapter 3, the author explains that addition using algebra tiles makes sense to the student because the tiles are the same shape and size. This uniformity in shape and size allows the student to easily visualize and understand the concept of addition.

The correct answer is Geometry. The van Hiele Model is a theory that focuses on the development of children's understanding and learning of geometry. This model suggests that students progress through five levels of geometric thought, starting from visual recognition of shapes to the ability to reason and prove geometric properties. The van Hiele Model provides a framework for educators to understand and support students' geometric learning by identifying their current level of geometric thinking and providing appropriate instructional strategies to help them progress to higher levels of understanding.

The principle that states that students should "actively build new knowledge from experience and prior knowledge" is learning. This principle emphasizes the importance of students actively engaging in the learning process and using their previous experiences and knowledge to construct new understanding. It suggests that learning is not a passive process but rather an active and dynamic one where students actively participate and make connections between what they already know and what they are learning.

Vygotsky and Gardner were the educational theorists responsible for research on the "zone of proximal development" and "multiple intelligences" respectively. Vygotsky's theory of the zone of proximal development emphasizes the importance of social interaction and scaffolding in a learner's development. Gardner's theory of multiple intelligences suggests that intelligence is not a single, fixed entity, but rather a combination of different types of intelligences, such as linguistic, logical-mathematical, musical, spatial, bodily-kinesthetic, interpersonal, intrapersonal, and naturalistic.

The U.S. Constitution delegates the authority to write curriculum to the states. This means that each state has the power to determine what is taught in their schools and develop their own educational standards. This allows for flexibility and customization of curriculum based on the needs and values of each state's population. The federal government, counties, school districts, and teachers may have some influence or input in the curriculum development process, but ultimately it is the states that have the primary responsibility and authority.

The question asks for the option that is not one of the six NCTM principles. The NCTM principles are Teaching, Technology, Assessment, Learning, Curriculum, and Equity. The option "Environment" is not one of the six principles, making it the correct answer.