{"id":1811,"date":"2017-09-05T08:00:44","date_gmt":"2017-09-05T12:00:44","guid":{"rendered":"http:\/\/blogs.ams.org\/matheducation\/?p=1811"},"modified":"2017-09-25T13:59:35","modified_gmt":"2017-09-25T17:59:35","slug":"the-third-year-of-on-teaching-and-learning-mathematics","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/matheducation\/2017\/09\/05\/the-third-year-of-on-teaching-and-learning-mathematics\/","title":{"rendered":"The Third Year of \u201cOn Teaching and Learning Mathematics\u201d"},"content":{"rendered":"<p><i><span style=\"font-weight: 400\">By Benjamin Braun, <a href=\"http:\/\/blogs.ams.org\/matheducation\/about-the-editors\/\" target=\"_blank\" rel=\"noopener noreferrer\">Editor-in-Chief<\/a>, University of Kentucky<\/span><\/i><\/p>\n<p><span style=\"font-weight: 400\">Summer 2017 brought the third anniversary of <\/span><i><span style=\"font-weight: 400\">On Teaching and Learning Mathematics<\/span><\/i><span style=\"font-weight: 400\"> and with it our annual review of the articles we have published since our <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/07\/11\/the-second-year-of-on-teaching-and-learning-mathematics\/\"><span style=\"font-weight: 400\">previous year in review article<\/span><\/a><span style=\"font-weight: 400\">. Over the past year, our articles have covered a range of topics and ideas, and I have loosely collated them by the following topics: active learning, K-12 education, summer experiences, assessment, diversity and inclusion, curricular issues, and mathematical culture. As we begin a new academic year, we hope you will take some time to read them (or read them again!) and be inspired.<\/span><!--more--><\/p>\n<p><b>Active Learning<\/b><\/p>\n<p><span style=\"font-weight: 400\">Active learning was a major topic for us again this year. Henrich, Blanco, and Klee shared ideas for supporting productive collaboration and conversation. LaRose argued that effective teaching is essentially inefficient, and that active learning is a prime example of this. Ellis Hagman interviewed several colleagues to find out how their use of active learning impacts\u00a0students from marginalized populations. Bremser reflected on a broadly-used form of active learning many of us overlook: tutoring.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Allison Henrich: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/05\/01\/i-am-so-glad-you-made-that-mistake\/\"><span style=\"font-weight: 400\">\u201cI Am So Glad You Made That Mistake!\u201d<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Sa\u00fal A. Blanco: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/06\/12\/teaching-in-a-collaborative-classroom\/\"><span style=\"font-weight: 400\">Teaching in a Collaborative Classroom<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Steven Klee: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/12\/12\/if-you-dont-talk-to-your-students-about-math-who-will\/\"><span style=\"font-weight: 400\">If You Don\u2019t Talk to Your Students About Math, Who Will?<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Gavin LaRose: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/09\/06\/the-inefficiency-of-teaching\/\"><span style=\"font-weight: 400\">The Inefficiency of Teaching<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Jess Ellis Hagman: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/08\/07\/to-active-learning-and-beyond-attending-to-student-thinking-and-student-experience-in-active-learning-math-classes\/\"><span style=\"font-weight: 400\">To Active Learning and Beyond: Attending to Student Thinking AND Student Experience in Active-Learning Math Classes<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Priscilla Bremser: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/07\/10\/help-wanted-mathematics-tutor\/\"><span style=\"font-weight: 400\">Help Wanted: Mathematics Tutor<\/span><\/a><\/li>\n<\/ul>\n<p><b>K-12 Education<\/b><\/p>\n<p><span style=\"font-weight: 400\">It is impossible to discuss postsecondary mathematics education without considering K-12 education as well. Lai, Howell, and Lahme discussed effective pre-service teacher education. Wilson, Adamson, Cox, and O\u2019Bryan made the case that our standard method for teaching inverse functions is counterproductive. Schanzer outlined the challenges that exist for mathematics due to the growing movement to teach computer science at the K-12 level. Beck and Wiegers shared their experiences directing an NSF-funded program connecting graduate students with K-12 students.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Yvonne Lai, Heather Howell: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/10\/03\/conventional-courses-are-not-enough-for-future-high-school-teachers\/\"><span style=\"font-weight: 400\">Conventional Courses Are Not Enough For Future High School Teachers<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Frank Wilson, Scott Adamson, Trey Cox, Alan O\u2019Bryan: <\/span><span style=\"font-weight: 400\"><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/11\/28\/inverse-functions-were-teaching-it-all-wrong\/\">Inverse Functions: We\u2019re Teaching It All Wrong<\/a>!<\/span><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Emmanuel Schanzer: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/01\/09\/integrating-computer-science-in-math-the-potential-is-great-but-so-are-the-risks\/\"><span style=\"font-weight: 400\">Integrating Computer Science in Math: The Potential Is Great, But So Are The Risks<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Brigitte Lahme: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/05\/15\/our-responsibility-our-opportunity-mathematical-habits-of-mind\/\"><span style=\"font-weight: 400\">Our Responsibility \u2013 Our Opportunity: Mathematical Habits of Mind<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Matthias Beck, Brandy Wiegers: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/10\/17\/creating-momentum-through-communicating-mathematics\/\"><span style=\"font-weight: 400\">Creating Momentum Through Communicating Mathematics<\/span><\/a><\/li>\n<\/ul>\n<p><b>Summer Experiences<\/b><\/p>\n<p><span style=\"font-weight: 400\">Both K-12 and undergraduate education take place beyond the constraints of classrooms; summer programs are frequently a source of inspiration for students. Through an interview with REU students, members of the editorial board explored their impact on five current undergraduates. Garc\u00eda Puente provided\u00a0a faculty perspective on leading undergraduate research projects. Duval reflected on his own profound experience as a high school student in a summer program that inspired a lifetime of mathematics.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">By the Editorial Board, based on an interview at the 2017 Joint Mathematics Meeting with REU students David Burton, Kelly Emmrich, Micah Henson, Andres Mejia, and Nina Pande: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/02\/20\/students-views-of-reus-a-magical-place-of-thinking\/\"><span style=\"font-weight: 400\">Students\u2019 Views of REUs: a \u201cMagical Place of Thinking\u201d<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Luis David Garc\u00eda Puente: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/04\/03\/undergraduate-research-viewpoints-from-the-faculty-side\/\"><span style=\"font-weight: 400\">Undergraduate Research: Viewpoints from the Faculty Side<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Art Duval: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/07\/24\/the-mathematical-encounter-that-changed-my-life\/\"><span style=\"font-weight: 400\">The Mathematical Encounter That Changed My Life<\/span><\/a><\/li>\n<\/ul>\n<p><b>Assessment<\/b><\/p>\n<p><span style=\"font-weight: 400\">Along with the responsibility of creating meaningful classroom experiences, mathematics faculty have the responsibility of assessing students in a meaningful way. Bagley, Gleason, Rice, Thomas, and White investigated the efficacy of the Calculus Concept Inventory as a means to assess student conceptual understanding. Patterson discussed the influence of growth mindset research on his classroom assessment techniques. Dewar turned the focus around with a thorough consideration of what instructors should know about student ratings of teaching.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Spencer Bagley, Jim Gleason, Lisa Rice, Matt Thomas, Diana White: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/07\/25\/does-the-calculus-concept-inventory-really-measure-conceptual-understanding-of-calculus\/\"><span style=\"font-weight: 400\">Does the Calculus Concept Inventory Really Measure Conceptual Understanding of Calculus?<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Cody L. Patterson: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/03\/20\/theory-into-practice-growth-mindset-and-assessment\/\"><span style=\"font-weight: 400\">Theory Into Practice: Growth Mindset and Assessment<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Jacqueline Dewar: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/04\/17\/student-evaluations-ratings-of-teaching-what-every-instructor-should-know\/\"><span style=\"font-weight: 400\">Student <\/span><span style=\"font-weight: 400\"><del>Evaluations<\/del><\/span><span style=\"font-weight: 400\">\u00a0Ratings of Teaching: What Every Instructor Should Know<\/span><\/a><\/li>\n<\/ul>\n<p><b>Diversity and Inclusion<\/b><\/p>\n<p><span style=\"font-weight: 400\">A deep and important challenge for the mathematics community is to find ways to increase our diversity and meaningfully include every mathematics student. Pons discussed her experience at ECCO 2016, a research conference that excelled in this mission. Hobson provided six ideas for instructors seeking ways to support diversity and inclusion. Katz reflected on the impact of implicit messages in our teaching, providing frameworks through which instructors can evaluate their impact on students.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Viviane Pons: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/08\/22\/an-inclusive-maths-conference-ecco-2016\/\"><span style=\"font-weight: 400\">An Inclusive Maths Conference: ECCO 2016<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Natalie LF Hobson: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/03\/06\/six-ways-mathematics-instructors-can-support-diversity-and-inclusion\/\"><span style=\"font-weight: 400\">Six Ways Mathematics Instructors Can Support Diversity and Inclusion<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Brian Katz: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/10\/31\/on-what-authority-considering-implicit-messages-in-our-teaching\/\"><span style=\"font-weight: 400\">On What Authority? &#8212; Considering Implicit Messages in Our Teaching<\/span><\/a><\/li>\n<\/ul>\n<p><b>Curricular Issues<\/b><\/p>\n<p><span style=\"font-weight: 400\">Curricular issues are a perennial concern for mathematicians and mathematics departments. Armstrong made the case for an expanded presence of linear algebra in standard undergraduate coursework. Pudwell described her experience teaching courses on experimental mathematics and the role this course offers within the standard undergraduate curriculum.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Drew Armstrong: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/09\/19\/more-linear-algebra-please\/\"><span style=\"font-weight: 400\">More Linear Algebra, Please<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Lara Pudwell: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/01\/23\/what-is-an-experimental-math-course-and-why-should-we-care\/\"><span style=\"font-weight: 400\">What is an Experimental Math Course and Why Should We Care?<\/span><\/a><\/li>\n<\/ul>\n<p><b>Mathematical Culture<\/b><\/p>\n<p><span style=\"font-weight: 400\">Our final three articles this year dealt in different ways with mathematical culture. Braun wrote about the challenge of balancing our ideals and our reality in the realm of teaching. Ellis Hagman wrote about the cultural differences between mathematics research and mathematics education research, and the questions she often gets from colleagues about her work as an educational researcher. Buckmire, Murphy, Haddock, Richardson, and Driscoll described several of the mathematics education projects funded by the National Science Foundation, and invited readers to contact them with ideas for proposals and projects.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Benjamin Braun: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/02\/06\/aspirations-and-ideals-struggles-and-reality\/\"><span style=\"font-weight: 400\">Aspirations and Ideals, Struggles and Reality<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Jess Ellis Hagman: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2017\/06\/26\/what-is-math-ed-research-all-about-as-explained-by-a-muggle-in-a-math-department\/\"><span style=\"font-weight: 400\">What is Math-Ed Research All About? As Explained by a Muggle in a Math Department<\/span><\/a><\/li>\n<li style=\"font-weight: 400\"><span style=\"font-weight: 400\">Ron Buckmire, TJ Murphy, John Haddock, Sandra Richardson, Brent Driscoll: <\/span><a href=\"http:\/\/blogs.ams.org\/matheducation\/2016\/11\/14\/the-national-science-foundation-has-resources-to-help-you-improve-the-teaching-and-learning-of-undergraduate-mathematics\/\"><span style=\"font-weight: 400\">The National Science Foundation Has Resources to Help You Improve the Teaching and Learning of Undergraduate Mathematics<\/span><\/a><\/li>\n<\/ul>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>By Benjamin Braun, Editor-in-Chief, University of Kentucky Summer 2017 brought the third anniversary of On Teaching and Learning Mathematics and with it our annual review of the articles we have published since our previous year in review article. Over the &hellip; <a href=\"https:\/\/blogs.ams.org\/matheducation\/2017\/09\/05\/the-third-year-of-on-teaching-and-learning-mathematics\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" data-url=https:\/\/blogs.ams.org\/matheducation\/2017\/09\/05\/the-third-year-of-on-teaching-and-learning-mathematics\/><\/div>\n","protected":false},"author":73,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[28,27,29,207,26,245,234,198,257,114,37,139,48,125,268],"tags":[154],"class_list":["post-1811","post","type-post","status-publish","format-standard","hentry","category-assessment-practices","category-classroom-practices","category-communication","category-curriculum","category-education-policy","category-faculty-experiences","category-graduate-education","category-k-12-education","category-mathematics-education-research","category-multidisciplinary-education","category-outreach-2","category-research","category-student-experiences","category-summer-programs","category-year-in-review","tag-year-in-review"],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p6C2AC-td","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/posts\/1811","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/users\/73"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/comments?post=1811"}],"version-history":[{"count":6,"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/posts\/1811\/revisions"}],"predecessor-version":[{"id":1836,"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/posts\/1811\/revisions\/1836"}],"wp:attachment":[{"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/media?parent=1811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/categories?post=1811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ams.org\/matheducation\/wp-json\/wp\/v2\/tags?post=1811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}