Analyzing the teaching of advanced mathematics courses via the enacted example space

Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in Educational Studies in Mathematics 69:77–79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the concept of an example space (Mason & Watson, 2008) and variation theory (Runesson in Scandinavian Journal of Educational Research 50:397–410, 2006) to create a lens to study how examples are used for pedagogical purposes in undergraduate proof-based instruction. We adapted the construct of an example space and extended its application to the constructs of example neighborhood, methods of example construction, and the functions of examples. We explained how to use our new lens to analyze the collection of examples and non-examples that the students had access to. We then demonstrate our method by analyzing the collection of examples and non-examples of a mathematical group the professor of an abstract algebra class presented during lectures or assigned to students in problem sets or exams.     

“That’s How We Roll”: A Case Study of a Recently Arrived Refugee Student in an Urban High School

This critical case study of one, Somali Bantu male high school student illuminates the struggle for recently arrived refugees at the high school level. Few educational research studies describe how recently arrived refugee students and their families make their transition to US schools (Ngo et al. in Hmong Stud J 8:1?C35, 2007; Hones and Cha in Educating new Americans: immigrant lives and learning. Erlbaum, Mahwah, 1999; Igoa in The inner world of the immigrant child. Erlbaum, Mahwah, 1995). Studies that examine how race, county of origin, and low socio-economic status affect refugee students also are few in number. Specifically Kamya (Soc Work 42:154?C165, 1997) argues that there is a compelling need for research that investigates how racism and stereotypes of Black Americans affect the experiences of African black immigrants and refugees. Rong and Brown (Educ Urban Soc 2:247?C273, 2002) add that black newcomers students often face a triple disadvantage of being black, having limited access to educational opportunity, and being poor. These challenges are particularly relevant for high school students as they have a limited amount of time to acquire proficiency in English and content area knowledge before transitioning to post-secondary education or the work force. In order to better understand how some of these processes work for a recently arrived refugee student in an urban school district, this paper examines the educational adaptation and coping strategies of one Somali Bantu male high school student and his family to the US public school system during the 2007?C2008 school year through the lens of intersectionality.     

A scalable and incremental project-based learning approach for CS1/CS2 courses

Cupi2 is a project that promotes an integral solution to problems in teaching/learning programming using a large and structured courseware, and a student-centered pedagogical model (Villalobos and Casallas 2006a; Villalobos et al. 2009a, b; Jiménez and Villalobos 2010). As a cornerstone of Cupi2, we use incremental projects intended to motivate students, and to develop high-level programming skills throughout their learning. A critical factor of these projects is that they are specially designed so that students are engaged in activities that complete a scaffold of a complete program. However, both the scaffolds and the activities needed to complete these incomplete programs must be arranged carefully by instructors in order to stress the adequate contents for students, and at the same time, to help those students acquire programming skills effectively. Jointly, scaffold versions need to comply with high quality standards, representing a high time consuming activity for instructors, and therefore, increased costs for institutions. In this paper, we describe the way we overcome these challenges using a software factory that supports the projects’ design in a scalable way.     

Educational Technologists: Leading Change for a New Paradigm of Education

The transition from the industrial age to the information age has happened and is still happening in our society (Duffy, 2009). However, our current educational systems still operate based on the needs of the industrial-age society (Watson, Watson, & Reigeluth, n.d), making them among the least impacted organizations (Reigeluth & Joseph, 2002). This misalignment between schools and society takes the form of a discrepancy between what and how we teach students in schools and how schools are organized and operated (Banathy, 1991; Hargreaves, 1999; Wagner et al., 2006). Educational systems should address current students’ needs to facilitate their learning process and better preparethem for their future lives in society (Collins & Halverson, 2009). In this article, we explain how we envision the new paradigm of education and what roles educational technologists should play to help transform educational systems to this new paradigm.     

Student-Generated Scientific Inquiry for Elementary Education Undergraduates: Course Development, Outcomes and Implications

While some researchers have argued for science classrooms that embrace open-inquiry by engaging students in doing science as scientists do (cf. National Research Council [NRC] 1996; Driver et al. in Sci Educ 84:287–312, 2000; Windschitl et al. in Sci Educ 87(1):112–143, 2008), others have argued that open-inquiry is impractical, ineffective, and perhaps even counter-productive towards promoting normative scientific ideas (cf. Kirschner et al. in Educ Psychol 41(2):75–86, 2006; Settlage in J Sci Teach Educ 18:461–467, 2007). One of the challenges in informing the debate on this issue is the scarcity of well-documented courses that engage students in open-inquiry characteristic of scientific research. This paper describes the design, implementation, and outcomes of such a course for undergraduates planning on becoming elementary teachers. The goal of the class was to immerse future teachers in authentic, open-inquiry (without specific learning goals related to scientific concepts) in hopes that students would come away with a deeper understanding of the nature of science (NOS) and improved attitudes towards science. Data collected from a variety of sources indicate that an authentic, open-inquiry experience is feasible to implement in an undergraduate setting, gives students a more sophisticated NOS understanding, improves students’ attitudes towards science and open-inquiry, and changes the way they intend to teach science in their future classrooms.     

Responding to Students’ Learning Preferences in Chemistry

This paper reports on a teacher’s and his students’ responsiveness to a new tetrahedral-oriented (Mahaffy in J Chem Educ 83(1):49–55, 2006) curriculum requiring more discursive classroom practices in the teaching of chemistry. In this instrumental case study, we identify the intentions of this learner-centered curriculum and a teacher’s development in response to this curriculum. We also explore the tensions this teacher experiences as students subsequently respond to his adjusted teaching. We use a Chemistry Teacher Inventory (Lewthwaite and Wiebe in Res Sci Educ 40(11):667-689, 2011; Lewthwaite and Wiebe in Can J Math Sci Technol Educ 12(1):36–61, 2012; Lewthwaite in Chem Educ Res Pract. doi:10.1039/C3RP00122A, 2014) to assist the teacher in monitoring how he teaches and how he would like to improve his teaching. We also use a student form of the instrument, the Chemistry Classroom Inventory and Classroom Observation Protocol (Lewthwaite and Wiebe 2011) to verify the teacher’s teaching and perception of student preferences for his teaching especially in terms of the discursive processes the curriculum encourages. By so doing, the teacher is able to use both sets of data as a foundation for critical reflection and work towards resolution of the incongruence in data arising from students’ preferred learning orientations and his teaching aspirations. Implications of this study in regards to the authority of students’ voice in triggering teachers’ pedagogical change and the adjustments in ‘teachering’ and ‘studenting’ required by such curricula are considered.     

Success factors impacting Latina/o persistence in higher education leading to STEM opportunities

This study investigates how Latina/Latino youth resist, conform to, and persist in schooling, and explores their preparation for an education in science, technology, engineering and math (STEM) fields. Using Latino Critical Race Theory as a framework, evidence of the “sticky mess” of racial inequalities (Espinoza and Harris in Calif Law Rev 10:499–559, 1997) and the concept of community cultural wealth (Yosso in Race Ethn Educ 8:69–91, 2005) will be used to understand how Latina/o students successfully persist in college. Quantitative and qualitative findings collected at two public universities in 2007–2012 show that Latina/o parents play a significant role in influencing their children’s decision to attend college; family, friend and community support and hard work have also been instrumental in college success. This is evident through parents’ encouragement to persist, expectations to do well and students serving as role models for siblings and peers. As policy makers in the educational arena emphasize STEM fields, there is a significant opportunity for Latino students to make valuable contributions.     

Infusing Authentic Inquiry into Biotechnology

Societal benefit depends on the general public’s understandings of biotechnology (Betsch in World J Microbiol Biotechnol 12:439–443, 1996; Dawson and Cowan in Int J Sci Educ 25(1):57–69, 2003; Schiller in Business Review: Federal Reserve Bank of Philadelphia (Fourth Quarter), 2002; Smith and Emmeluth in Am Biol Teach 64(2):93–99, 2002). A National Science Foundation funded survey of high school biology teachers reported that hands-on biotechnology education exists in advanced high school biology in the United States, but is non-existent in mainstream biology coursework (Micklos et al. in Biotechnology labs in American high schools, 1998). The majority of pre-service teacher content preparation courses do not teach students appropriate content knowledge through the process of inquiry. A broad continuum exists when discussing inquiry-oriented student investigations (Hanegan et al. in School Sci Math J 109(2):110–134, 2009). Depending on the amount of structure in teacher lessons, inquiries can often be categorized as guided or open. The lesson can be further categorized as simple or authentic (Chinn and Malhotra in Sci Educ 86(2):175–218, 2002). Although authentic inquiries provide the best opportunities for cognitive development and scientific reasoning, guided and simple inquiries are more often employed in the classroom (Crawford in J Res Sci Teach 37(9):916–937, 2000; NRC in Inquiry and the national science education standards: a guide for teaching and learning, 2000). For the purposes of this study we defined inquiry as “authentic” if original research problems were resolved (Hanegan et al. in School Sci Math J 109(2):110–134, 2009; Chinn and Malhotra in Sci Educ 86(2):175–218, 2002; Roth in Authentic school science: knowing and learning in open-inquiry science laboratories, 1995). The research question to guide this study through naturalistic inquiry research methods was: How will participants express whether or not an authentic inquiry experience enhanced their understanding of biotechnology? As respondents explored numerous ideas in order to develop a workable research question, struggled to create a viable protocol, executed their experiment, and then evaluated their results, they commented on unexpected topics regarding the nature of science as well as specific content knowledge relating to their experiments. Four out of five participants reported they learned the most during authentic inquiry laboratory experience.     

Development of a Short-Form Measure of Science and Technology Self-efficacy Using Rasch Analysis

Despite an increased focus on science, technology, engineering, and mathematics (STEM) in U.S. schools, today’s students often struggle to maintain adequate performance in these fields compared with students in other countries (Cheek in Thinking constructively about science, technology, and society education. State University of New York, Albany, 1992; Enyedy and Goldberg 2004; Mandinach and Lewis 2006). In addition, despite considerable pressure to promote the placement of students into STEM career fields, U.S. placement is relatively low (Sadler et al. in Sci Educ 96(3):411–427, 2012; Subotnik et al. in Identifying and developing talent in science, technology, engineering, and mathematics (STEM): an agenda for research, policy and practice. International handbook, part XII, pp 1313–1326, 2009). One explanation for the decline of STEM career placement in the U.S. rests with low student affect concerning STEM concepts and related content, especially in terms of self-efficacy. Researchers define self-efficacy as the internal belief that a student can succeed in learning, and that understanding student success lies in students’ externalized actions or behaviors (Bandura in Psychol Rev 84(2):191–215, 1977). Evidence suggests that high self-efficacy in STEM can result in student selection of STEM in later educational endeavors, culminating in STEM career selection (Zeldin et al. in J Res Sci Teach 45(9):1036–1058, 2007). However, other factors such as proficiency play a role as well. The lack of appropriate measures of self-efficacy can greatly affect STEM career selection due to inadequate targeting of this affective trait and loss of opportunity for early intervention by educators. Lack of early intervention decreases selection of STEM courses and careers (Valla and Williams in J Women Minor Sci Eng 18(1), 2012; Lent et al. in J Couns Psychol 38(4), 1991). Therefore, this study developed a short-form measure of self-efficacy to help identify students in need of intervention.     

DEVELOPING AN UNDERSTANDING OF IONS IN JUNIOR SECONDARY SCHOOL CHEMISTRY

There is growing research interest in the challenges and opportunities learners face in representing scientific understandings, processes and reasoning. These challenges include integrating verbal, visual and mathematical modes in science discourse to make strong conceptual links between representations and classroom experiences. Our paper reports on a project that aimed to identify practical and theoretical issues entailed in a representation-intensive approach to guiding students’ conceptual learning in science. We focus here on a teacher developing students’ understanding of the formation of ions and molecules. We argue that the representations produced by students in this process met the criteria for representational competence proposed by diSessa (Cognition and Instruction, 22, 293–331, 2004) and Kozma & Russell (2005). The students understood that an effective representation needed to show relevant information, focus on pertinent points, be self-sufficient in its claims about the topic and provide coherent links between different parts of the representation. The final activity showed that their representations reached Kozma & Russell’s (2005) highest level of competence, where the students were able to use specific features of their representations to critique their suitability for explaining bonding and were able to show how their representation linked to the periodic table as a representation. We conclude by considering the implications of these findings.     

Small Talk: Children’s Everyday ‘Molecule’ Ideas

This paper reports on 6–11-year-old children’s ‘sayings and doings’ (Harré 2002) as they explore molecule artefacts in dialectical-interactive teaching interviews (Fleer, Cultural Studies of Science Education 3:781–786, 2008; Hedegaard et al. 2008). This sociocultural study was designed to explore children’s everyday awareness of and meaning-making with cultural molecular artefacts. Our everyday world is populated with an ever increasing range of molecular or nanoworld words, symbols, images, and games. What do children today say about these artefacts that are used to represent molecular world entities? What are the material and social resources that can influence a child’s everyday and developing scientific ideas about ‘molecules’? How do children interact with these cognitive tools when given expert assistance? What meaning-making is afforded when children are socially and materially assisted in using molecular tools in early chemical and nanoworld thinking? Tool-dependent discursive studies show that provision of cultural artefacts can assist and direct developmental thinking across many domains of science (Schoultz et al., Human Development 44:103–118, 2001; Siegal 2008). Young children’s use of molecular artefacts as cognitive tools has not received much attention to date (Jakab 2009a, b). This study shows 6–11-year-old children expressing everyday ideas of molecular artefacts and raising their own questions about the artefacts. They are seen beginning to domesticate (Erneling 2010) the words, symbols, and images to their own purposes when given the opportunity to interact with such artefacts in supported activity. Discursive analysis supports the notion that using ‘molecules’ as cultural tools can help young children to begin ‘putting on molecular spectacles’ (Kind 2004). Playing with an interactive game (ICT) is shown to be particularly helpful in assisting children’s early meaning-making with representations of molecules, atoms, and their chemical symbols.     

A Multidimensional Assessment of Children in Conflictual Contexts: The Case of Kenya

Children in Kenya’s Kisumu District Primary Schools (N?=?430) completed three measures of trauma. Respondents completed the My Worst Experience Scale (MWES; Hyman and Snook 2002) and its supplement, the School Alienation and Trauma Survey (SATS; Hyman and Snook 2002), sharing their worst experiences overall and specifically in schools. Participants also completed the Trauma and Attachment Belief Scale (TABS; Pearlman 2003), addressing their experiences of violence. The study examined children’s perceptions about themselves and others in the aftermath of violent experiences and the relationship between children’s trauma symptoms from experiencing violence and their social and academic functioning. Differences in the presence, frequency, and severity of symptoms emerged, with a large percentage attaining statistical and clinical significance. Research and practice implications are provided.     

School district triggers for reconstructing professional knowledge

In a recent publication, Senge (All systems go: the change imperative for whole system reform. Corwin Press, Thousand Oaks, 2010, x) stated ??at no time in history has there been a more powerful need for a new vision of the purpose of education.?? Increasingly citizens, academics and practitioners are calling for radical changes to educational practices to meet the needs of a knowledge-based society in the twenty-first century (Dede in 21st Century skills: rethinking how students learn. Solution Tree Press, Bloomington, 2010; Hargreaves and Shirley in The fourth way: the inspiring future for educational change. Corwin Press, Thousand Oaks, 2009). Accomplishing such substantive educational change requires that individual educators collectively reshape their personal professional knowledge (Connelly and Clandinin in Teachers as curriculum planners: narratives of experiences. OISE Press, Toronto, 1988; Elbaz in Curriculum Inq 11(1):43?C71, 1981) and adapt their personal mental models (Duffy in J Staff Dev 24(1):30?C36, 2003). In 2000, we began a longitudinal study on the role of a school district in facilitating significant educational reform which required adaptations to individual and collective mental models of professional practice. Annually we conducted intensive interviews with a large sample of teachers, school and system administrators in this large Ontario, Canada school district. Recently, we conducted a retrospective analysis of these data collected in order to identify the conditions necessary for a large organization to support knowledge-creation and dissemination. In this paper, we identify three school district actions that triggered individual educators to challenge and reconstruct their professional personal practical mental models of the teaching and learning. First, improved student learning became the central focus of the school district. Second, the school district stressed and created opportunities for educators to collectively engage in professional dialogue about their practice. Third, the school district emphasized the importance of educators individually and collectively using evidence to assess whether their actions improved student learning.     

“I’d be expecting caviar in lectures”: the impact of the new fee regime on undergraduate students’ expectations of Higher Education

The introduction of the new tuition fee regime in the UK has resulted in growing concerns about the impact on students’ expectations of their university experiences (e.g. Jones in Perspectives 14(2):44–48, 2010). This is coupled with reports from those such as the OIA (Office of the Independent Adjudicator (2012) Annual Report. Accessed on July 22, 2013. Retrieved from, http://oiahe.org.uk/media/88650/oia-annual-report-2012.pdf) which detailed the rise in the number of student complaints year on year. The current study explored undergraduate psychology students’ (N = 62) expectations and derived experiences of Higher Education through a series of focus groups. In particular, a focus on students’ perceptions of level of support, contact time, and resources were explored. These were undertaken both before (n = 21) and after (n = 41) the introduction of the fee rise, to provide a cross-sectional comparison of the potential changes. Thematic analysis of the narratives indicated minimal support for the idea that increased tuition fees had heightened expectations in Higher Education. Additionally, although there were some discrepancies between students’ expectations and experiences, particularly in relation to level of support and contact time, this did not have a detrimental impact on satisfaction of their University experiences. This was related to the fact that these experiences exceeded their original expectations. One noteworthy finding however, suggested that higher tuition fees were related to greater expectations of graduate employability. The implications of this are discussed, as well as the implications of student satisfaction (using models such as the Student Satisfaction Index Model; Zhang et al. in Int J Bus Manag 3(9):46–51, 2008), for institutional policies of recruitment and retention.     

Expatriate parents and supplementary education in Japan: survival strategy or acculturation strategy

The increase in the use of supplementary education, or juku, in Japan by Japanese families in order to augment their children’s chances of success in entering prestigious pre-tertiary and tertiary institutions is documented (Blumenthal in Asian Surv 32(5):448–460, 1992; Bray and Lykins in Shadow education; private supplementary tutoring and its implications for policy makers in Asia, Asian Development Bank, Philippines, 2012; Dierkes in The Focus: Supplementary education in Asia, International Institute of Asian Studies, Leiden, The Netherlands, 2011; Roesgaard in Japanese education and the cram school business; Functions, challenges and perspectives of the juku, Nordic Institution of Asian Studies, Copenhagen, 2006; Rohlen in J Jpn Stud 6(2):207–242, 1980; Tsukada in Comp Educ, 24(3):285–303, 1988), but there is little known about the use of supplementary education by an ever-growing number of families in Japan in which one or both parents are an expatriate. This exploratory countrywide study of such families hopes to address this lack of research. Initial results show that while a number of factors related to their own culture and values about childhood, education, and family life influence some families’ decision not to send their children to juku, most families tend to use these services for many of the same reasons as their Japanese counterparts, although to a different degree. In addition, they seem to use these services because they are counseled to do so by insiders, or because supplementary education provides other services which help them to navigate the Japanese educational system. Expatriate families’ use of supplementary education could be one of many acculturation strategies they use as they adapt to Japan’s educational culture.     

Connecting science to everyday experiences in preschool settings

In this paper I discuss the challenges of teaching science concepts and discourse in preschool in light of the study conducted by Kristina Andersson and Annica Gullberg. I then suggest a complementary approach to teaching science at this level from the perspective of social construction of knowledge based on Vygotsky’s theory (1934/1987). In addition, I highlight the importance of the relational aspect of knowing using feminist standpoint theory (Harding 2004). I also draw from feminist research on preservice elementary teachers’ learning of science to further underscore the connection between learning content and everyday experiences. Combining these research strands I propose that science needs to be grounded in everyday experiences. In this regard, the idea is similar to the choices made by the teachers in the study conducted by Andersson and Gullberg but I also suggest that the everyday experiences chosen for teaching purposes be framed appropriately. In and of itself, the complexity of everyday experiences can be impediment for learning as these researchers have demonstrated. Such complexities point to the need for framing of everyday experiences (Goffman 1974) so that children can do science and construct meaning from their actions. In the conclusion of my discussion of science and its discourse in preschool settings, I provide examples of everyday experiences and their framings that have the potential for engaging children and their teachers in science.     

The Value of Applied Research: Retrieval Practice Improves Classroom Learning and Recommendations from a Teacher, a Principal, and a Scientist

Over the course of a 5-year applied research project with more than 1,400 middle school students, evidence from a number of studies revealed that retrieval practice in authentic classroom settings improves long-term learning (Agarwal et al. 2009; McDaniel et al., Journal of Educational Psychology 103:399–414, 2011; McDaniel et al. 2012; Roediger et al., Journal of Experimental Psychology: Applied 17:382–395, 2011a). Retrieval practice, or the use of quizzes and exams to engage and enhance retrieval processes, has been widely established as an effective strategy for facilitating learning in laboratory settings (e.g., Roediger et al. 2011c). In this article, we review recent findings from applied research that demonstrate that retrieval practice enhances long-term classroom learning, delayed quizzes are particularly potent for retention, quizzes benefit students’ transfer to novel quiz items, and quizzes with feedback improve students’ learning and metacognitive awareness. In addition to generating evidence to support retrieval-based learning, these applied research studies also enhanced the professional development of the teachers, administrators, and scientists involved in the project. In this article, it is our hope that by sharing what we have learned from a variety of perspectives, applied scientific research in K-12 classrooms will continue to be explored and generated at local, state, and national levels, improving student learning and educational decision-making.     

Internationalization of British Universities: Learning from the Experiences of International Counselling Students

This retrospective qualitative study investigated the experiences of 12 international students in a postgraduate counselling programme at a higher education (HE) institution in the UK. Results from an earlier empirical study on these students (Pattison, Counselling and Psychotherapy Research 3: 107–113, 2003) were mapped against concepts derived from a content analysis of Turner and Robson’s (2008) work on the internationalization of HE institutions. The focus is on what can be learned from the perceptions of participants when reframed and reviewed through an internationalization lens. The paper suggests ways in which British universities can enhance the development of academic and intercultural competencies and support the international counselling student to receive an internationalized HE experience.     

Zwischen Bildungsaufstieg und Karriere Studienperspektiven „nicht-traditioneller Studierender“

This contribution looks at a series of qualitative and quantitative investigations on the study success and study behavior of so-called non-traditional students. Of particular interest are two aspects: the combination of qualitative and quantitative findings, which are mutually complementary and in a sense present plausible corrections for one-sided observations, and controlled observations over a long period of time, as the first studies were carried out within the framework of an international study in 1998 and the last one within the framework of a project sponsored by the German Research Foundation (DFG) in 2007. This longer time period certainly increases the plausibility of the cautious diagnoses made, which attempt to capture the relevant changes in this field of research. Such mixed methods research (Derzin 1970, 1989; Flick 1992) – i.e. the link between quantitative and qualitative research and survey methods often termed “triangulation” (cf. Prein/Kelle/Kluge 1993; Flick 1995) – has the advantage that a complex field of research can be scanned using different instruments and through a type of “convergence model” (Jacob 2001) the data won from different methods can be used to mutually validate the results. The qualitative material used in this study comes from theoretical sampling (cf. Glaser 1965; Strauss/Corbin 1996) of data from six German higher education institutions from two points in time (1998 and 2005; n=2x c. 400 surveyed respondents). The quantitative analysis, which was especially carried out for our study, profits from the fact that 2500 interested people responded to our recruitment search for biographic-narrative interviews. This group of people was then asked to participate in a special online survey in 2007 – a cooperative initiative in which around one third of the initial respondents took part. That does, however, mean that the quantitative study is not representative. Our overall research design remains complex, but retains an exploratory character     

Agnotology, Scientific Consensus, and the Teaching and Learning of Climate Change: A Response to Legates, Soon and Briggs

Agnotology is a term that has been used to describe the study of ignorance and its cultural production (Proctor in Agnotology: the making and unmaking of ignorance. Stanford University Press, Stanford, 2008). For issues that are contentious in the societal realm, though largely not in the scientific realm, such as human evolution or the broad basics of human-induced climate change, it has been suggested that explicit study of relevant misinformation might be a useful teaching approach (Bedford in J Geogr 109(4):159–165, 2010). Recently, Legates et al. (Sci Educ. doi:10.1007/s11191-013-9588-3, 2013) published an aggressive critique of Bedford’s (J Geogr 109(4):159–165, 2010) proposals. However, the critique is based on a comprehensive misinterpretation of Bedford’s (J Geogr 109(4):159–165, 2010) paper. Consequently, Legates et al. (Sci Educ. doi:10.1007/s11191-013-9588-3, 2013) address arguments not actually made by Bedford (J Geogr 109(4):159–165, 2010). This article is a response to Legates et al. (Sci Educ. doi:10.1007/s11191-013-9588-3, 2013), and demonstrates their errors of interpretation of Bedford (J Geogr 109(4):159–165, 2010) in several key areas: the scientific consensus on climate change; misinformation and the public perception of the scientific consensus on climate change; and agnotology as a teaching tool. We conclude by arguing that, although no single peer-reviewed publication on climate change, or any other scientific issue, should be accepted without due scrutiny, the existence of a scientific consensus—especially one as overwhelming as exists for human-induced climate change—raises the level of confidence that the overall findings of that consensus are correct.