804 Matching Annotations
  1. Nov 2017
  2. Oct 2017
    1. While I've experimented with many alternatives to traditional assessment, I have primarily relied on self-assessment. I turn in final grades at the end of the term, but those grades usually match the grades students have given themselves. (I do tell students 'I reserve the right to change grades,' but this is rare and I mostly have to raise them, because students are often their own harshest critics.)

      Jesse Stommel

    1. And they invite faculty to ask questions about how we can impact access in ways that go beyond textbook costs

      Interesting point. Once we start talking about access through textbook costs, we open the door to faculty thinking about access in the other ways listed above too.

    1. In this FLT article, I am introducing a new pedagogy I call the Pedagogy of Retrieval. This is the pedagogy I use to try to interrupt the automatic use of lower potential learning strategies in my flipped classrooms at The University of Texas at Austin, and it is built on the collective body of research and efforts of my colleagues mentioned above.
  3. Sep 2017
    1. Geisler (1994) and Russell and Yañez (2002) discuss a comparable situation in theUSA, where to fulfil general education requirements, undergraduates take a numberof disciplinary courses in fields which are not their major. They note the contradic-tions involved in conflating the aims of general education and disciplinary encultura-tion, with lecturers using a disciplinary discourse that is not only unfamiliar tostudents, but also seen as irrelevant to their individual aims and aspirations. Similarly,Moore (2000) discusses the tension between integration and disciplinarity in an inter-disciplinary foundation course in South Africa, voicing concerns that the attempt topromote generic competences risks undermining the disciplinary basis of academicperformance (p. 192).

      research and bibliography on the mismatch between gen ed or breadth students and the rhetoric of instructors who are intending to socialise people in their field.

    1. Thus, the integration of multiple modalities can be beneficial for learning and this practice is conflated with the learning styles neuromyth. In other words, this particular neuromyth presents a challenge to the education field because it seems to be supporting effective instructional practice, but for the wrong reasons. To dispel this particular myth might inadvertently discourage diversity in instructional approaches if it is not paired with explicit discussion of the distinctions between learning styles theory and multimodal instruction.
  4. Aug 2017
    1. Perhaps we should only use open as a modifier for other pedagogies,

      I feel like this is where consensus between the parties divided above might come in. I don't know the right -ism, but aren't there many fundamental and shared pedagogical principles between open web and open resource advocates when it comes to how these things effect teaching and learning?

    1. This edited book represents a sliver, albeit a substantial one, of the scholarship on the science of learning and its application in educational settings. Most of the work described in this book is based on theory and research in cognitive psychology. Although much, but not all, of what is presented is focused on learning in college and university settings, teachers of all academic levels may find the recommendations made by chapter authors of service.
  5. Jul 2017
  6. May 2017
    1. ne critical element in the effectiveness of these networks is “working in the open.” This includes a number of simple practices commonly associated with open source software: making curriculum and tools easy for others to discover; publishing using an editable format that allows others to freely use and adapt them; using an open license like Creative Commons. It also includes a set of work practices that make it easy for people to collaborate across organizations and locations: collaborative writing in shared online documents; shared public plans on wiki or other editable documents; progress reports and insights shared in real time and posted on blogs. These simple practices are the grease that lubricates the network, allowing ideas to flow and innovations to spread. More importantly, they make it possible for people to genuinely build things together—and learn along the way. This point cannot be emphasized strongly enough: when people build things together they tend to own them emotionally and want to roll them out after they are created. If the people building together are from different institutions, then the innovations spread more quickly to more institutions.

      These are all important aspects of open pedagogy, imo. Transparent, network practices that connect, but also create space and opportunities for particiaption by those on the edges. Working in the open is an invitation to particiaption to others.

  7. Apr 2017
    1. This leads to the second point I once made: that students no longer need to actually read the material to get impressive grades, which contributes to both student and administrator scorn for the affected disciplines. This point caused some push-back, since professors and fellow students noted that if I wasn’t reading the material, it was my own fault for not getting the full benefit of the course. I agreed, but countered that if the difference between my reading very little of the material instead of it all was a 10 to 15 percent bump in my final grade, what did that imply about the value of said material to the course? Srigley argues that less than 20 percent of his students even access the weekly readings for his courses, largely because they know they don’t have to ­– “they can get an 80 without ever opening a book.”

      Again, this implies that the professor should care. One of the principles behind my grading system is that I don't. People are welcome to do whatever they want and they get the same grade, unless they do exceptional work.

      This also implies that grades are somehow the currency of learning and that if you are getting good grades without learning, then you are somehow "winning."

      This is a misunderstanding of grades. They are really the bits of an expert system that converts qualitative evaluation of individual performances into a final score that helps people categories graduates. So they are secondary to the actual learning and performance.

    2. Srigley explores a couple of points that I touched on in my article, but didn’t fully understand. This first is what I’ve referred to as the “bullshit factor,” or the ability that my English major friends and I believed we possessed to “bamboozle” our professors with our sparkling prose and strikingly original analysis. It took me into my fourth year to realize that, in my arrogance, I hadn’t realized who was playing who. The professors saw right through our bullshit, but for various reasons were unwilling to call us on it. Instead they coddled us, encouraged us, praised us – and awarded us grades we didn’t deserve.

      The Bullshit factor! Interesting argument that the faculty realise but don't call the students on it. But I wonder. It can also be a question of effort: if you want to bullshit your way through college, who am I to stop you? As a rule, I'm generally not interested in those students, as opposed to either the ones who are doing great work or poor work but are not BSers.

  8. Mar 2017
    1. Advocacy and use of free and/or open source tools and software wherever possible and beneficial to student learning;Integration of free and open content and media in teaching and learning;Promotion of copyleft content licenses for student content production and publication;Facilitation of student understanding regarding copyright law (e.g., fair use/fair dealing, copyleft/copyright);Facilitation and scaffolding of student personal learning networks for collaborative and sustained learning;Development of learning environments that are reflective, responsive, student-centred, and that incorporate a diverse array of instructional and learning strategies;Modeling of openness, transparency, connectedness, and responsible copyright/copyleft use and licensing; and,Advocacy for the participation and development of collaborative gift cultures in education and society.

      Couros model of open pedagogy

    1. For two decades or more, we have experienced a steady, global Kerosion of appropriated state support. In the 1970s, state general revenue appropriations covered 85% of the core academic costs (faculty salaries, operating costs of academic units, core adminis-tration). Today, they cover about a third, and the share falls every year. There have been huge rises in tuition and fees, with no

      cite this for the failing social compact and the importance of open

    2. Over time, these qualities drove American society to redefine the goal of higher education, which became, in Kerr’s words, “to serve less the perpetuation of an elite class and more the creation of a relatively classless society, with the doors of opportunity open to all through education.

      open was the original goal of land grant institutions.

    1. Open education is the combination of open licensing and web-based social media. It brings some fundamental challenges to the way we think about higher education and the institutional arrangements in which it is organized (Katz, 2008; Liyoshi & Kumar, 2008).1

      This seems to be one of the oldest defintions I could find

    1. The building blocks provided by the OER movement, along with e-Science and e-Humanities and the resources of the Web 2.0, are creating the conditions for the emergence of new kinds of open participatory learning ecosystems

      John Seely Brown suggested open pedagogy would emerge.

    1. only possible in the context of the free access and 4R permissions

      This sets up a binary. You can not be "open"unless you are fully open? What does that mean when I draft a document on Google Docs? I have granualr control over permissions but someone own's my data. Is it open? Must learning occur on on a FOSS (free and open source software) to be considered part of open pedagogy?

    1. Conversely, western pedagogy continues to deal with content predominantly in the abstract form, in spite of attempts to contextualise subject matter.

      This jumps out at me as a major difference between the two systems of learning. Indigenous: highly contextualised with a strong sense of place versus Western: pedagogy deals with content in the abstract in spite of attempts to contextualise. What do you think?

  9. Feb 2017
    1. Crucially, adopting OEP requires more of a shift of mindset than does adopting OER, more critical reflection about the roles of the instructor and the student when education continues to be based on content consumption rather than critical digital literacy despite information (and misinformation) being abundant.

      I think there are already plenty of examples of OEP in the wild, just not identified as OEP. It may go under the name Digital Pedagogy, Student as Producer, Network Learning, Networks of Practice, Service Learning, Public Sphere Pedagogy.

    2. ‘what else can I do because of these permissions?’, we’ve come within striking distance of realizing the full power of open.”

      With full respect to David, I might phrase this as "we've come within striking distance of realizing the full power of open educational resources."

    1. An educational framework integrated across social change methodologies would offer depth of content and breadth of experience, providing opportunities for students to develop their citizenship skills and hone their entrepreneurial abilities so that they can think and act effectively within systems. To develop such a framework, faculty, staff, and industry professionals will have to become changemakers themselves. We will need to understand the contexts of our diverse fields and institutions, build coalitions, and expand on each other’s experiences in new and creative ways as we support our students in pursuing social change.
    1. As an ethical and political practice, a public pedagogy of wakefulness rejects modes of education removed from political or social concerns, divorced from history and matters of injury and injustice. Said’s notion of a pedagogy of wakefulness includes “lifting complex ideas into the public space,” recognizing human injury inside and outside of the academy, and using theory as a form of criticism to change things.[xxv] This is a pedagogy in which academics are neither afraid of controversy or the willingness to make connections that are otherwise hidden, nor are they afraid of making clear the connection between private issues and broader elements of society’s problems.
    1. simply incorporating a technological tool without reflecting upon pedagogical change isn’t digital pedagogy

      This is the key to what makes a pedagogy a pedagogy, I think - the thoughtful articulation of the rationale behind the practice. The intentionality of application by the instructor.

    1. There is an unsettling gap between our pedagogical goals and the structural rewards of university. Students fear that taking chances in an assignment might mean a lower grade. Taking a class outside their main discipline might prove a stretch and lower their GPA. This produces risk-averse behaviour rather than bold, fearless action. We need opportunities to better align the learning goals we say we aspire to teach and the learning outcomes we get.

      Fear of failure

    1. If you strive to see behavior change in your participants and are willing to drop the more comfortable role of constantly “telling”, and  these guidelines will help. Ask questions. Plan and integrate questions that will spur not-so-easy thinking and feeling. Be provocative. Be willing to name dynamics, factions, or hidden assumptions in the group…with the positive intention of causing disequilibrium and curiosity. Encourage experimentation. Balance your “Telling” role with opportunities for participants to explore, create, and make mistakes.

      Asking provocative and probing questions to spur deeper thinking.

    1. There is a danger that in-struction in advanced philosophical criticism may lead to an abnonnal growth of abstract intel-lectualism, and render young people unfit for the practice of eloquence.

      Think about the method of this course, which asks students to hesitate before what Vico calls "a habit of advanced speculative criticism."

  10. Jan 2017
  11. Dec 2016
    1. competencies or learning outcomes, educational resources that support the achievement of those outcomes, assessments by which learners can demonstrate their achievement of those outcomes, and credentials that certify their mastery of those outcomes to third parties.

      These all feel very product driven from my perspective. Perhaps it's a necessarily administrative position. Of course, David himself has written about this elsewhere, but what about the process, what about pedagogy?

    2. the assignment is impossible without the permissions granted by open licenses.

      To me, this is a limited definition of "open." What exactly are we opening? Just the resource itself? Just the price or access to the resource? What about it's composition? Does opening the composition or interpretation of a close resource count as open pedagogy?

    3. disposable assignments.”

      I've been think lately about an idea I'll now call "disposable tools": tools introduced in formal education that aren't really used outside the classroom.

      It's true that the skills gained by using such education technology can be carried out of the classroom. And it's true that we need the safety of the walled garden some such platforms provide in some learning contexts. But what if professors and administrators started thinking about what tech to use in the classroom based on the sustainability of those tools? Asking, will this be useful to students beyond graduation?

    4. How can we extend, revise, and remix our pedagogy based on these additional capabilities?

      To me, and I may be short on imagination here, the bulk of the work is in connecting teaching and learning with bullets 3 and 4.

    1. Defining OEP Overall, open education practitioners and researchers describe OEP as moving beyond a content-centred approach to openness, shifting the focus from resources to practices, with learners and teachers sharing the processes of knowledge creation. In their summary of the UKOER project, for example, Beetham, et al. (2012) explicitly define the project’s interpretation of OEP as practices which included the creation, use and reuse of OER as well as open learning, open/public pedagogies, open access publishing, and the use of open technologies. Ehlers (2011) defines OEP as “practices which support the (re)use and production of OER through institutional policies, promote innovative pedagogical models, and respect and empower learners as co-producers on their lifelong learning paths.”
    1. by inserting comments in the audio recordings they’d submit to me (as opposed to worrying about whether or not it was ok to correct their French in class in front of their peers… something I had always been hesitant to do in spite of – or perhaps because of – what had been done to me!) or by recording an audio walkthrough of suggestions and corrections to the first drafts of their compositions (instead of handing back a blood-red “fixed” version of a composition in class).

      Premium on teacher feedback.

  12. Nov 2016
    1. Speech, writing, math notation, various kinds of graphs, and musical notation are all examples of cognitive technologies. They are tools that help us think, and they can become part of the way we think -- and change the way we think.

      Computer interfaces can be cognitive technologies. To whatever degree an interface reflects a set of ideas or methods of working, mastering the interface provides mastery of those ideas or methods.

      Experts often have ways of thinking that they rarely share with others, for various reasons. Sometimes they aren't fully aware of their thought processes. The thoughts may be difficult to convey in speech or print. The thoughts may seem sloppy compared to traditional formal explanations.

      These thought processes often involve:

      • minimal canonical examples - simple models
      • heuristics for rapid reasoning about what might work

      Nielsen considers turning such thought processes into (computer) interfaces. "Every theorem of mathematics, every significant result of science, is a challenge to our imagination as interface designers. Can we find ways of expressing these principles in an interface? What new objects and operations does a principle suggest?"

    1. Digital literacies are not solely about technical proficiency but about the issues, norms, and habits of mind surrounding technologies used for a particular purpos

      people often fall in the trap of focusing on technical aspects and skills. Spreading awareness about contextual placement of technologies (ex: pedagogies) is key

  13. Oct 2016
    1. Pedagogy is leading people to a place where they can learn for themselves. It is about creating environments and situations where people can draw out from within themselves, and hone the abilities they already have, to create their own knowledge, interpret the world in their own unique ways, and ultimately realise their full potential as human beings.
  14. Sep 2016
    1. Ashift is taking place in schools all over the world as learners are exploring subject matter through the act of creation rather than the consumption of conten

      So interesting to see this "realization" included in the K-12 report but not in the HE report. Fostering curiousity, interest, creativity, and ownership. Short jump to an open pedagogy model but pretty unclear that's where this is coming from.

  15. Aug 2016
  16. Jun 2016
    1. adaptive learning - a broad range of software and techniques that attempt ongoing customization of lessons for each student.

      Ideally, adaptive learning is like providing a personal tutor for each student. It can also help a teacher determine which topics need more attention for individual students or the class as a whole. And it may free up class time that would otherwise be used lecturing on basics.

  17. May 2016
    1. Wiggins and McTighe’s solutions—backward design, sharing detailed rubrics with students, etc.—are certainly the right way to do teacher-centered, standards-driven education based on measurable outcomes.

      I've been wondering for a long time about ID, UbD and the like as they fit in with open educational practices and open pedagogy. It seems like they're closed in a way, in that the the goals, the way they're defined and the means to getting there are all defined for the learner. But if we really want to help people grow and be all they can be, we have to cede control to the learners, so they can start to define their own goals, and find out how to set their own paths.

    1. neg­a­tive effect occurs in class­rooms where lap­tops and tablets are per­mit­ted with­out restric­tion and in class­rooms where stu­dents are only per­mit­ted to use tablets that must remain flat on the desk surface.

      Another study suggests that we should keep laptops out of the classroom. Unfortunately, tablets appear to be a problem too.

  18. Apr 2016
    1. Convinced that big undergraduate lectures are ineffectual, Wieman long ago ditched those big performances in favor of getting students to problem-solve. He gets them actively engaged with course material, working in smaller groups. The techniques have become known as an evidence-based, "active learning" style of teaching.
    1. networked discovery of connections would be at the center of both the learning environment as designed by faculty and the learning environment as experienced by students

      Would love to hear Campbell or Kuh elaborate on this. Identifying "connections" as more important than identifying content/information? A new way for searching the Internet? Mining connections among content/people? Mining the connections I've made among content/people on the Internet?

    1. “While we have the ‘must do’ layer, there’s also that little bit of subversion here, giving kids that little bit of creativity and maybe a ray of hope,” Reisinger said. “I want them to learn that learning is not all about what someone else preordains for you. It’s OK to tinker and play with things.”

      Refreshing! Self-directed learning. Agency. Almost smells like open pedagogy!

  19. Mar 2016
    1. and I must always let that stirring call me to critical practice in my teaching.

      Being stirred, being called - these require being open, permeable and thus, vulnerable. This is where we lay aside our armor of credibility and create space for the unknown, unanticipated to enter. This is emotional work and for many of us, scary work. There are many reasons for academia to cloak itself in layer upon layer of credibility, rigor and firm hierarchies. To suggest that love inspires you to be in fact more critical in your practice, defies the logic of the academy. This is part of what I find so compelling here: turning established assumptions on their heads. I have more to say about callings but will save for another space & occasion. (But Gregg Levoy, Callings. 1999.)

    1. Educational practice first

      reminds me of @lisaMLane 's Pedagogy First that I discovered in 2011 and finally managed to get back into and finish in 2014.

      yes Pedagogy is always first, May be like an artist's idea or feeling that then can be expressed in so many different ways. ( Metaphors are tricky and never perfect but ..) :)

      Technology can inspire new ways of augmenting/expanding/personalizing/connecting etc. :) pedagogy and learning.

    1. Every child writes about something personally meaningful.

      I have to stop assigning and teaching formula-driven analysis writing. I need to allow students to enter conversations through argument what they are reading.

    1. The OER is used to devise interactive ways of using OER to promote students’ engagement in the problem-solving process.

      This is close. How about "promote students' engagement" with the OER itself? Student can annotate, edit, create, improve, expand the OER.

    2. Learners are engaged in solving real-world problems. Existing knowledge is activated as a foundation for new knowledge. New knowledge is demonstrated to the learner. New knowledge is applied by the learner. New knowledge is integrated into the learner’s world.

      Not totally on board with this. Perhaps if "learner" role can be filled with student or instructor.

    3. 1) Providing open, accessible and quality content for a wider community of teachers and learners.  2) Sharing best practice and helping to avoid re-inventing the wheel.  3) Helping developing countries improve and expand learning for development opportunities.  4) Offering flexible non-formal and informal knowledge and skills accumulation pathways to formal study.  5) Providing learning opportunities for geographically, socially or economically excluded students and non-traditional and work-based learners.  6) Improving the quality of conventional and online education by achieving greater awareness of open and inclusive educational practices and varied perspectives on fields of study.  7) Enabling collaboration between institutions, sectors, disciplines and countries.

      I would have expected a more direct reference to serving students. Students being active participants, potentially creators of the content (knowledge) they are interacting with.

  20. Feb 2016
  21. www2.wou.edu www2.wou.edu
    1. The project of education has been misdirected. Educators and students alike have found themselves more and more flummoxed by a system that values assessment over engagement, learning management over discovery, content over community, outcomes over epiphanies. Education has misrepresented itself as objective, quantifiable, apolitical. - Jesse Strommel, Hybrid Pedagogy. Talk at Western Oregon University 4/29/15

  22. Jan 2016

    Tags

    Annotators

    1. Dweck’s message is that we can’t just adopt a growth mindset and forget about it, and simply praising effort regardless of actual progress is completely counterproductive. Successfully cultivating a growth mindset is an ongoing process that consists of teaching strategies for growth and praising effort thoughtfully, rather than regardlessly.

      "Recently, someone asked what keeps me up at night. It's the fear that the mindset concepts, which grew up to counter the failed self-esteem movement, will be used to perpetuate that movement." -- Carol Dweck

    1. The whole organic nature of learning experience through the #walkmyworld learning events meant that I learned what I needed to learn as I needed to learn it. It wasn’t a top down dictate of learning outcomes because the outcomes were determined by the process. It is a revolutionary concept — yet as ancient as Aristotle. Learning should never be measured solely by standard outcomes; people learn, and I mean really LEARN, when they discover for themselves what they know, what they want to know, and how they want to know it.
  23. www.participate.com www.participate.com
    1. Participate Learning Twitter client for education twitter chats. Choose from more than 150 chats, or request to have one added. Sign in with Twitter to view live or archived tweets, a list of participants, and a list of links that were shared.

      Participate Learning provides categorized, vetted educational resources, both free and commercial, and online tools for curating collections and collaborating with other educators.

      https://medium.com/@alanwarms/why-we-launched-participate-chats-5f1d0a61b2b8

    1. Over the years, I've challenged the notion of just having kids read on their own at school. (Or, maybe not so much challenged the notion as told people about the actual research findings on this topic which aren't so wonderful.) I’ve not been a friend to DEAR, SSR, SQUIRT, or similar schemes that set aside daily amounts of time for self selected reading in the classroom.              Most studies don’t find much pay off for this kind of reading—either in reading achievement or motivation to read. There are many better things to do if your goal is to encourage reading than to just tell kids to go read on their own (a directive that sounds a lot like, “go away and leave me alone").

      Timothy Shanahan of U of IL Chicago says we aren't spending enough time on reading and writing instruction.

  24. Dec 2015
    1. constructivism (Jean Piaget) - Learners must actively construct their body of knowledge, their schema, through experience and reflection. When we encounter a new idea, we can do one of three things:

      • decide that it's irrelevant, and ignore it
      • assimilate it into our existing schema
      • accommodate it by modifying our schema

      social constructivism (Lev Vygotsky) - emphasized that building knowledge is a social process

      constructionism (Seymour Papert) - Learning works best when we are publicly building artifacts -- of any kind whatsoever. While communicating with others, we get valuable feedback, and learn to put thoughts in various concrete forms.

  25. Nov 2015
    1. In one study at San Diego State University, students enrolled in an Introductory Psychology course were taught using three kinds of lectures: one that incorporated course content-related humor; one that included humor, but not related to the course material; and one that used no humor at all. When researchers tested student’s retention of knowledge six weeks later, they found that those who attended lectures with course-related humor scored significantly higher than the other students.
  26. Oct 2015
    1. They found that, more than any particular type of activity, achieving flow was determined by the mix of challenge and support teachers provide: Engagement was high when students were appropriately challenged by complex goals and high teacher expectations but also supported through positive interactions with their teacher.
    2. But one place where we might not find too much flow these days, sadly, is in American schools. For years, the learning conditions in classrooms have been practically antithetical to the conditions people need to achieve flow and all the benefits that come with it. Especially in the era of No Child Left Behind and high-stakes testing, schools have often favored regimentation over self-directed learning, making it harder for students to get deeply engaged with topics that interest them. Paradoxically, these trends might be undermining the kind of student achievement they were designed to promote, and could even be causing student burnout.
  27. Sep 2015
    1. Indeed, it was often unclear from the level of engagement which participants were physically present at DPL and which were watching from afar. The present-absent-present dance was fascinating to observe.

      As a "virtual attendee" or "lurker" or "scoper," it was difficult to follow and frustrating at times, but super helpful and fun too, especially as resources (images, links, quotes) were shared out. Communicating the context of those resources is still a pretty tricky thing to do well.

  28. Aug 2015
    1. So, rather than an exploration of a work in which instructor and student collaborate on meaning-making, Education Genius maintains a hierarchical divide between teacher and learner.

      I wonder if this stems from the misguided assumptions of the MOOC, that education can be distributed en masse rather than requiring careful collaboration and community management.

    1. Is the choice to use words like “electronic” or “digital” to designate our work and pedagogy simply a reflection of a moment of transition, soon to be abandoned as such methods become universal, or is it still important to call attention to the use of technology as we push it towards new frontiers?

      An artifact of transition?

  29. Jul 2015
  30. Jun 2015
  31. May 2015
    1. One of my favorite activities is annotation, moving towards thinking about critical editions.

      So cool to empower the student as scholar editing a critical edition: make them responsible for the historical and cultural contextualization, and for leading the reader toward possible interpretations.

  32. Jan 2015
  33. Oct 2013
    1. To beginners should be given matter designed, as it were, beforehand in proportion to the abilities of each. But when they shall appear to have formed themselves sufficiently on their model, a few brief directions may be given them, following which, they may advance by their own strength without any support. 6. It is proper that they should sometimes be left to themselves, lest, from the bad habit of being always led by the efforts of others, they should lose all capacity of attempting and producing anything for themselves. But when they seem to judge pretty accurately of what ought to be said, the labor of the teacher is almost at an end, though should they still commit errors, they must be again put under a guide. 7.

      Autonomy in learning and expression

    1. Let boys in the first place learn to decline nouns and conjugate verbs, for otherwise they will never arrive at the understanding of what is to follow. This admonition would be superfluous to give were it not that most teachers, through ostentatious haste, begin where they ought to end, and, while they wish to show off their pupils in matters of greater display, retard their progress by attempting to shorten the road.