School districts have historically operated summer programs to give students extra learning and enrichment opportunities to promote positive academic and behavioral outcomes. Despite the potential benefits and policymakers' endorsement of summer programming, recent research suggests that summer programs have a limited impact on post-pandemic…

Out-of-school learning opportunities can improve student academic achievement and support social-emotional learning. Such programming is valued by the public and in high demand. Teachers can also benefit from seeing students engage in learning in contexts that promote creativity, safe risk-taking, and a tolerance for ambiguity and failure. This…

Equivalence is a concept that comes up across the entire K-12 grade span and in many different areas of mathematics. Students who are bureaucratically designated as "English Learners" can explore equivalence across their K-12 academic careers while developing language to connect ideas. Drawing on what is known generally from theory and…

Undergraduate research is increasingly prevalent in many fields of study, but it is not yet widespread in mathematics education. We argue that expanding undergraduate research opportunities in mathematics education would be beneficial to the field. Such opportunities can be impactful as either extracurricular or course-embedded experiences. To…

The Department of Mathematics & Statistics at Pomona College has long worked to create an inclusive and welcoming space for all individuals to study mathematics. Many years ago, our approach to the lack of diversity we saw in our majors was remediation through programming, which sought to ameliorate student deficits. More recently, however, we…

Mentoring undergraduate students in research is both rewarding and challenging. In this paper we present how we established a summer Research Experience for Undergraduates (REU) program in the mathematical sciences at Michigan State University. A goal of our REU is to include students who are at an early stage of their study of mathematics. We…

Imagine teachers, administrators, and university mathematicians and staff learning together in a lab setting where students are excited about attending a week-long summer math event because they are at the forefront of the experience. Piloted in three New Mexico classrooms during summer 2014, MathLab expanded into 17 lab settings over six…

This paper results from programming of Indigenous Logix: Mathematics|Culture|Environment (IndigiLogix). IndigiLogix's intention is to increase Indigenous students' love for mathematics as well as college access and success. Through IndigiLogix, it was transparent that the mathematics knowledge imparted to our Indigenous students derived from a…

This paper describes the development, results, and future directions of the mathematics component of the EMERGE Summer Program at Northeastern Illinois University. Initiated summer 2014, EMERGE offered English and mathematics sessions for incoming freshmen. The mathematics session aimed to strengthen participants' mathematical foundations,…

This column presents ideas and techniques to enhance science teaching. This month's issue describes preservice elementary teachers learning engineering principles from engineers. Few elementary teachers have experience with implementing engineering into the classroom. While engineering professional development opportunities for inservice teachers…

This chapter describes how sustained mentoring together with rigorous collaborative learning and community building contributed to successful mathematical research and individual growth in the Applied Mathematical Sciences Summer Institute (AMSSI), a program that focused on women, underrepresented minorities, and individuals from small teaching…

New technologies and virtual environments are emerging globally, yet the way these tools can impact the learning and future career paths of students who are gifted is limited in the literature at this time. The purpose of this article is to provide a summary of how a science, technology, engineering, and mathematics (STEM) summer camp, based on…

In April of 2010, the author was approached to write a proposal that would provide grant money for a summer program to take place at the Florida Agricultural and Mechanical University's Developmental Research School (FAMU DRS). The FAMU DRS functions as a normal K-12 school; however, it is administered by the Florida A&M University College of…

Each year at Bath University the Open University's Centre for Mathematics Education runs a one-week summer school for Key Stage 3 teachers as well as those aspiring to become teachers. For many of the participants, the course is a case of dipping their toe in the water towards a longer-term goal of taking an Advanced Diploma (or perhaps a masters)…

In daily life, students are allowed to use words such as "more," "some," or "increase-decrease" to describe the relationship between two events. In science, concise description is necessary, which requires the contribution of math. In the summer component of the Science Research Institute program, students integrated…