As education works to reconnect student learning to something more than standardized testing, projectbased learning (PBL) has become a popular way to increase student engagement while providing more authentic applications of student knowledge. While research regarding PBL is bountiful, little has been done to connect this body of research with student perceptions regarding its classroom application, especially concerning authenticity and student engagement. This research focuses on the topic of ''task authenticity'' as a means to improve student outcomes. Two groups of seventh-grade students were presented the concept of slope and y-intercept in the context of engineering-based activities. The research design measures if there is a difference in student achievement and perceived importance of these mathematics concepts when presented with authentic and non-authentic approaches to the material. Given this particular methodology, the results show that although no significant difference was found in student achievement, there is a significant difference in the perception that students have regarding the importance of understanding slope and y-intercept.

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This chapter serves as an introduction to transdisciplinary learning, Integrative STEM Education, and current methods for infusing formative assessment into hands-on instruction at the elementary level. Subscribing to the approach that formative assessment is a process that takes place in the classroom to enable learning, the chapter discusses the use of engineering notebooks, competency-based assessment, and qualitative assessment (rubrics and portfolios) in the context of formative assessment while facilitating hands-on learning opportunities. In addition to introducing each of these topics from a research and literature perspective, examples are provided and discussed from a practical perspective. No one formative assessment is better than another, however, one type may be more practical due to the teacher's willingness to try new things, development of students, standards teacher is measuring, type of lesson/unit, time, available resources, and associated costs.

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