Statistical Analysis of Moodle Quizzes

I am a massive fan of Moodle Quiz. It really is one of the most powerful and comprehensive pedagogical tools in Moodle. From its multiple question types (http://docs.moodle.org/20/en/Question_types) to its many configuration and grading options, its various methods of giving students targeted feedback and its comprehensive reporting, it leaves most other quiz engines in the shade.

Reporting is one of Moodle Quizzes biggest strengths and an aspect of the quiz that I think people overlook. Today I want to take some timeout just to do some justice to Moodle quiz and share with the world just how fantastic it is.

Very generally there are two types of reports that can be generated for Moodle quizzes, student report and statistics report. Lets look at each of these reports in a little detail.

Student Report

The student report (grades) allows the teacher to see how students are performing in the quiz. The student report allows the teacher to see at a glance averages for questions and students but also allows the teacher to drill down to individual students to individual question and view a log for a student’s behaviour in a given question.

The screen shot below demonstrates a simple example of how summative information for a quiz is displayed.

Grade report for Moodle Quiz

Grade report for Moodle Quiz

For a teacher to review an individual learners attempt he or she just needs to click on one of the marks. This will bring up the question and outline the students response to the question including a log of what the student did while answering the question.

Question level logs

Question level logs

Teachers need to not only know how their students are performing but they also need to know how well their quizzes are performing. Moodle provides a “statistics” report providing basic psychometric analysis of quizzes to do this.

Statistics Report

The statistics report is broken into two parts; quiz information, which provides summative stats on the quiz, and quiz structure analysis, which provides detailed information about the quiz’s questions.

Quiz information contains the following information about a given quiz:

  • Quiz name
  • Course name
  • Open and close dates for the quiz
  • Total number of first/graded attempts
  • Average grade for first/all attempts
  • Median grade
  • Standard deviation of grades
  • Score distribution skewness (for first attempts) – indicating whether there is a long tail on the distribution curve to the left (negative skew) or right (positive skew)
  • Coefficient of internal consistency (sometimes called Cronbach Alpha) – This is a measure of whether all the items in the quiz are testing basically the same thing. Thus it measures the consistency of the text, which is a lower bound for the validity. Higher numbers here are better [1].
  • Error ratio – the variation in the grades comes from two sources. First some students are better than others at what is being tested, and second there is some random variation. We hope that the quiz grades will largely be determined by the student’s ability, and that random variation will be minimised. The error ratio estimates how much of the variation is random, and so lower is better [1].
  • Standard error – this is derived from the error ratio, and is a measure of how much random variation there is in each test grade. So, if the Standard error is 10%, and a student scored 60%, then their real ability probably lies somewhere between 50% and 70% [1].
The screen shot below outlines how this information is displayed to the teacher.
Quiz statistics display
Statistics are also generated for each question. The following looks at the types of statistics that you can expect for each question in your quiz (source: [1]):
  • Q# - shows the question number (position), question type icon, and preview and edit icons
  • Question name - the name is also a link to the detailed analysis of this question (See Quiz Question Statistics below).
  • Attempts - how many students attempted this question.
  • Facility Index - the percentage of students that answered the question correctly.
  • Standard Deviation - how much variation there was in the scores for this question.
  • Random guess score - the score the student would get by guessing randomly
  • Intended/Effective weight - Intended weight is simply what you set up when editing the quiz. If question 1 is worth 3 marks out of a total of 10 for the quiz, the the intended weight is 30%. The effective weight is an attempt to estimate, from the results, how much of the actual variation was due to this question. So, ideally the effective weights should be close to the intended weights.
  • Discrimination index - this is the correlation between the score for this question and the score for the whole quiz. That is, for a good question, you hope that the students who score highly on this question are the same students who score highly on the whole quiz. Higher numbers are better.
  • Discriminative efficiency - another measure that is similar to Discrimination index.
    • Where random questions are used, there is one row in the table for the random question, followed by further rows, one for each real question that was selected in place of this random question.
    • When quiz questions are randomized for each quiz, the quiz module determines a default position.
    • Quiz statistics calculations gives further details on all these quantities.
Conclusion
So there you have it, Moodle quiz allows you to see how well your students are performing and how well your quiz itself is performing. This is very powerful stuff giving you the information to create better questions and better quizzes that truly evaluate a students knowledge. 

References:

  1. http://docs.moodle.org/22/en/Quiz_statistics_report
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A solution to Federated Moodle Management

First of all – Federated Moodle Management – what does that even mean?
This is where an entity (regional organisations or perhaps umbrella groups) require the ability to self provision multiple Moodle instances for each of their member organisations, while at the same time retaining the services of a professional external provider to manage and maintain the service. These umbrella organisations may want to retain a supervisory role over the spawned instances (very often keeping full admin control) while letting the member organisations create the content and look after enrolments among their learners. New courses, can be created locally or pushed from the central organisation using a course hub for all to use. New functional components can be added or removed by the umbrella organisation. On top of all this there is a need for reporting across all sites and perhaps the ability to turn off sites and functionality on a case by case basis. The diagram below outlines how Federated Moodle Management works.

federated moodle management

Federated Moodle Management architectural diagram

Enovation have built up considerable expertise in the managed hosting of Moodle implementations in a diverse infrastructure – shared physical and virtual servers, dedicated physical and virtual environments. Harnessing this expertise we have built an open source stack to create an environment where these umbrella organisations can be empowered to control the generation/deletion and updating of Moodle instances for member organisations.

What are its benefits?
The Centralised management solution offers:
- A Simple interface for package (could be a custom Moodle) creation – allowing a premade custom package to be deployed together with selected add-ons
- Facilitate billing of member oganisations
- Automated package upgrades
- Ability to turn on/off sites
- Ability to turn on/off components within these sites (eg additional Moodle modules, or additional packages – mahara)

Who is using this?
The Irish Computer Society (ICS) is one organisation who are using this solution as part of their ICSGrid. ICS have the ability to fully manage all their member schools using an interface provided by Enovation. In the background Enovation manage the infrastructure and maintain the packages, and ensure that all instances are up to date and running correctly.

If you would like to see a demo of Federated Moodle Management – just give us a shout!

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Defining the future of e-Learning at the Stellar Meeting

Last week I spent Monday and Tuesday at the Stellar Meeting of Young Minds in Leuven, Belgium. The point of this meeting was to get twelve leading young thinkers in Technology Enhanced Learning (TEL) together to consider the future of TEL and what should be funded through future European Commission research funding calls. I was very lucky to be one of those twelve selected.

The instrument used to consider the future of TEL was “scenario building”. The JRC define a scenario for building possible futures as:

a “story” illustrating visions of possible future or aspects of possible future. [..] Scenarios are not predictions about the future but rather similar to simulations of some possible futures.

You can find more details on scenarios on the JRC website or on the Foresight Horizon Planning Toolkit.

During the future scenario building exercise we were split into three groups of four. The group I was in concentrated on the uncertainty of the future and how it is widely held that we are educating young people for jobs that do not even exist yet. What does this mean for education? Our group looked at how TEL could facilitate an educational system that promotes life long learning, giving learners the knowledge to allow them to adapt and remould themselves for future jobs. In essence looking at how to train people to train themselves.

As a group we were transfixed on the backwardness of standardised education. We make kids conform to a norm so that we can easily measure them against some standardised metric. This, our group believed, suppresses individuality and uniqueness (I think we were all influenced by Ken Robinson’s Ted Talk – Schools kill creativity). Granted there is knowledge that, as a society, we value in people and this still needs to be taught to young people, but consider a more flexible educational system where this knowledge is taught using a medium that interests, stimulates and motivates.

We looked at how a more personalised curriculum could be achieved, whereby a person learns about the things that excites them, in a way that motivates them to want to learn. In this environment a student is supported by technology, that provides the right learning resources and experiences they need in a timely fashion. Technology also plays a role in bringing students with common interests together regardless of physical location. Learner groups may also connect with experts when required. The role of the teacher in the physical classroom becomes more of a coach and a facilitator.

Our group acknowledged that the biggest challenge to this system is assessment. With personalised curriculum we can no longer use standardised testing. We need to be a bit more imaginative about how we test learners. We need to assess each student on their own merits. Assessing how he or she has developed over a given time-frame, the meta-learning skills acquired (skills for learning) and the knowledge and skills he or she has mastered in the their chosen domain.

This was a very interesting and thought provoking meeting, one that I really enjoyed. After the meeting we were asked to put forward three trends most relevant to the future of TEL, after some consideration I came up with the following:

  1. Training will be personalised to personal interest – you can set what you are interested and work towards your own goals
  2. There will be a need to train people to train themselves – meta-learning skills
  3. People will need to be skilled in a variety of core skills that will allow them to adapt to the needs of a changing world

We were also asked if we could get the commission to fund one research are what would it be, to which I replied:

Facilitating personalised learning using the abundant information available to people. Also look at how assessment could work if everyone had their own curriculum. I think we will move away from the standardised test to one that celebrates individuality.

I would be very interested in hearing your thoughts on this.

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How I got involved in Technology Enhanced Learning

I have been invited to the Meeting of Young Minds in Belgium at the end of the month. The idea behind this meeting is stated on the invitation as follows:

The idea of this meeting is to gather 12 young minds (below 35) to discuss the future of TEL research during two days (Nov. 28-29) in Leuven. We will then send a white paper to the Commission to help them to shape future call in Technology enhanced learning.

In preparation for this I have been asked for an informal introduction on myself and how I got involved in Technology Enhanced Learning – I decided to share what I wrote:

How I came to be involved in TEL: When I read this statement, “how I came to be involved in TEL”, I really had to think – how did I get here? My interest and involvement in TEL was by no means planned, it was really an accident.

I have always been interested in computers. As far back as I can remember I have been tinkering with (or breaking, depends on who you ask) a computer. After finishing school I did a degree in Software Systems. During my degree I liked to think of myself as a very technical person, only interested in hard-core technology issues. After my degree I wanted to get into more technical web issues and managed to get onto a research project that was investigating semantic web technologies. It just so happened that the domain that this project was looking at was TEL. To be honest, I can remember thinking that perhaps this project wasn’t for me, it was investigating TEL and not really important issues, I was pretty naive wasn’t I?

During this project I tried very hard to stay away from TEL and concentrate on pure semantic web issues but it was no use as soon as I started to contemplate some of the big TEL questions, like ‘will what we are doing really help people learn?’, leading to bigger questions like ‘How do we learn anyway?’, I was hooked. My research in semantic web soon became a means to an end. At the end of this project we received additional funding for a longer term project to look at commercialising the technology we were developing. It was at this point that I considered myself a TEL researcher. I was now looking at how technology could help people to learn and teach. This was what now excited me. It was during this project I also completed my PhD, which looked at using software modelling technologies in designing good courseware.

After completing my PhD. I had two loves TEL and, after working on a commercialisation project, entrepreneurship. I moved to Canada and worked in a start-up e-learning company that was spinning out of the University of Toronto’s Psychology Dept. During this time we were looking at how we could use assessments to test knowledge fluency. We worked with all sorts of people from pilots to ice hockey officials to academics. This was a great time, very exciting and innovative. Unfortunately it was short lived – as the cash dried up and the revenue didn’t come in quite fast enough.

After my time in Canada I came back to Ireland and joined a company that specialises in providing professional services for e-learning Open Source Software (OSS) (mainly Moodle). This is were I am now and finding it very interesting work – helping mould OSS around clients e-learning needs. There I am in mainly a consultancy role but do like to get my hands into the code every now and again.

I will of course blog about the meeting.

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Enovation at the cutting edge of e-Learning Research

Over the past year we have been working on a really interesting research project called Percolate – http://www.percolate.ie. Percolate is a collaboration between various multinational companies in Ireland with an interest in education (Cisco, Intel), indigenous Irish e-learning companies and academic partners – namely Trinity College Dublin (TCD), University College Dublin (UCD), Telecommunications Software and Systems Group (TSSG) at Waterford Institute of Technology (WIT) and DERI in NUI Galway. The project is funded by Enterprise Ireland.

The aim of the percolate project is to examine the very innovative bleeding edge technology that has been developed through research conducted by the academic partners over the last decade and make use of them in a real-world e-learning applications by the industry partners. The project concentrates on social and informal learning in particular as shown in the diagram below.

Percolate Project Themes

Percolate Project Themes - source: http://www.percolate.ie

Just to give you an idea of the kind of technologies that have been developed by the academic partners:

  • A personalised learning delivery engine developed by TCD
  • Semantic search engine from DERI
  • Social search from UCD – check out heystaks.com for the commercial application of UCD’s social search
  • Learning metrics developed by TSSG in WIT

To push these technologies to their limits the industry partners have come up with various use-cases. It is up to the academic partners to show how these technologies can be used in the various use cases. The use cases include:

  • K-12 use case – looking at how technology can be used for kids that are struggling at school, and also kids that are shooting ahead – how to keep them interested.
  • Third Level use case (lead by Enovation) – Looking at how a Learning Object Repository such as the NDLR (http://www.ndlr.ie) can be used to give Just-In-Time guidance and support to students engaged in Problem Based Learning activities.
  • Corporate use case – Looking at how tacit knowledge can be more readily externalised and how corporates can make better use of social learning and quantify learner engagement with social learning.

The aim of this post is really to give you a little taster of what is going on in the Percolate project. Over the next few posts I hope to expand on each of the projects and perhaps go into a bit of detail about the technologies that are being exploited as part of this project.

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Course prerequisites in Moodle 2

Moodle 2 has a great new feature called conditional activities.  This allows you define an activity which must be completed prior to a student being allowed access to another activity. You won’t see the conditional activity options as standard, you first have to enabled them at site, course, or activity level.

The assumption people have when they read about this is that it can work on a course level. Users would like to define a course which must be completed before a student can enter another course. When you go looking for this you find a feature which you would expect does exactly what you are looking for, but it works a different way.

The way it works as standard in Moodle (2.0.3+) is that when a teacher sets up courses A and B, such that course A is a prerequisite to course B, the student can have access to both courses A and B – and access is not restricted to B but rather, in the completion process, course B cannot be marked as completed by the student unless course A is completed.

You could consider the term prerequisite has been used confusingly in this scenario because it doesn’t function as a prerequisite to access a course as access but a prerequisite to completion of a course.

One way to implement a feature which does prevent access to course B until course A is completed would be to add new course settings which are similar to the conditional activity settings for activities.  You could then define a prerequisite course which should be completed before entry to the course would be permitted.

You would then need to modify the course login process to check if the student has met the prerequisite course requirements, and alert them if they are prevented access to the course.  Simple!

I have created a proof of concept implementation which is made up of some new core files (a core lib file and language file), a new block and patches to lib/moodlelib.php, course/lib.php & course/edit_form.php

I have tried to keep the patches to a minimum, so each patch is only a few lines long.  This code requires a new databases table but I didn’t want to patch the Moodle database scripts, so instead the block will handle the creation of the database table.

You can download a version of Moodle 2 with course prerequisites from our git repositories at:

https://github.com/enovation/moodle (you can clone git://github.com/enovation/moodle.git)

(The branch with the course prerequisite code is called course_prerequisites)

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One-way Syncronisation of your Moodle Calendar with Outlook or Google Calendar

A lot of people find the calendar tool in Moodle very useful. It is a really simple way for learners, teachers and site administrators to schedule learning and training events. More details on the Moodle calendar and its uses can be found on the Moodle docs page – http://docs.moodle.org/20/en/Calendar

Okay so Moodle calendar is great but I can hear what your saying – “Ahhhh, not another calendar to keep track of!” I feel your pain so in this blog post I am going to concentrate on getting your events out of Moodle and into your Outlook or Google calendar and keeping them up to date with your Moodle Calendar.

First of all we need to find out how to get our calendar data out of moodle. To do this we can expose the Moodle calendar to the web. What this basically gives us is a URL for your calendar. The URL opens a file that is in the ICS standard which is a standard way of expressing calendar data. Now lets look at how to export your calendar in Moodle.

  1. Open up your calendar as outlined below

    Moodle Calendar

  2. Click on the “Export Calendar” button. This will bring up a screen as outlined below

    Moodle Export Calendar Screen

  3. Select the options you want and then click on “Get Calendar URL”. The URL generated is your calendar’s URL. If you open this in a web browser it will open an ICS file – this is a text file which tells another calendar program about the events in your Moodle calendar.

Next you will want to import the calendar into your own calendar system. First I will look at Microsoft Outlook and then Google Calendar.

Microsoft Outlook

  1. Go to Tools > Account Settings
  2. Click on the Internet Calendars tab
  3. Click on “Add” and enter the Moodle calendar URL.
    Add Outlook Calendar

    Add Outlook Calendar

  4. Add details about the calendar
  5. You will then see your moodle calendar as an other calendar. Opening it will allow you see your Moodle calendar side-by-side with your Outlook calendar.

    Moodle and Outlook Side-by-Side

    Moodle and Outlook Side-by-Side


  6. Google Calendar

In Google Calendar click in the Other Calendars section click on add > add by url

Google Calendar Add by URL

Google Calendar Add by URL

  • Add the Moodle URL into the pop-up box
    Adding URL to Google

    Adding URL to Google

  • Your Moodle Calendar now appears in the “other calendars” pane and is also embedded into your Google calendar.
  • Google Calendar

    Google Calendar

    Note: It may take a little while for your calendar to update. Google calendar for example can take a number of hours to show updates done in your Moodle calendar.

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    Grading Scales in Moodle

    A+, Satisfactory, 58%, Partial understanding, Needs more work, below average – yes there are many ways for us teachers to express how well we think a student has done in an assessment activity. This is very important as sometimes we want to give a very precise grade and other times we just want the student to know that they are doing well. To do this we use grading scales.

    Grading scales are a way of capturing, and communicating, student performance in a learning or assessment activity. A very typical grading scale is to use a percentage to represent the amount of correct responses from a given student. Another popular grading scale is to use letters to indicate performance e.g. from an ‘A’ grade for the best possible performance on the assessment to an ‘F’ grade, to represent a failing grade in the assessment.

    Moodle allows for the use of both numeric and non-numeric grading scales for Forums, Glossaries and Assignments. Numeric grading scales are defined from 1-100, where the instructor indicates the maximum grade for the activity, e.g. a max of 100 is a percentage grade or a max of 10 can be used where students are marked out of a maximum mark of 10. Moodle has one non-numeric scale defined out of the box called “Separate and Connected ways of knowing”. This scale allows an instructor to define a learner’s knowledge of an area in terms of connected knowing or separate knowing as defined by Belenky et. al (1986).

    Moodle also allows  instructors and administrators to define new non-numeric course-wide and site-wide grading scales respectively. The screen-shot below shows the Moodle screen used to define a new grading scale. The “name” field is used to define the name of the new scale, “scale” is used to define the separate grading scales (each scale is separated by a comma) and the “description” field is used to describe the rationale behind the new grading scale. Each non-numeric grade is assigned a numeric value behind the scenes. When entering grades they should be entered in increasing order of value, therefore the grades A,B,C,D should be entered as D,C,B,A. The value of each grade is based on the number of grades in the scale. To illustrate how the value of grades are calculated, below, we have taken the grades generally used in university degree programmes:

    • University degree grading system – Fail, Pass, 2nd Class Honours (Grade 2), 2nd Class Honours (Grade 1), First Class Honours
      • (Valued as 0/4pts, 1/4pt, 2/4pts, 3/4pts and 4/4pts respectively in any normalized aggregation method)
      • (Valued as 1, 2, 3, 4 and 5 respectively in the sum aggregation method)
    Grading scale definition in Moodle

    Grading scale definition in Moodle

    Okay so you have your grading scale set up, now how do you use them in your assessments? Easy all you do is specify the appropriate grading scale when you are creating your assessments. To do this all you need to do is set the “grade” in the assessment settings. In the screen shot below you can see the custom scales at the top of the list. There are two non-numeric grading scales:

    • MyScale – Excellent, Very good, Good, Average, Poor, Very poor
    • Separate and Connected Ways of Knowing – Separate knowing, Connected knowing, Separate and connected knowing
    Selecting a grading scale when setting up an assignment

    Selecting a grading scale when setting up an assignment

    So what does the teacher see? The screen shot below displays what a teacher will see when correcting an offline assignment that is using the MyScale as a grading scale.

    Teacher grading assignment using MyScale

    Teacher grading assignment using MyScale

    For more information on grading scales have a look at the grading scales page on the moodle.org web site – http://docs.moodle.org/en/Scales

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    Drupal – We love it at Enovation

    Ok so I think you know now that at Enovation we love Moodle, so today I thought I would tell you about another cool product that we customise and support for our clients, Drupal. Drupal is a very cool open source Content Management System (CMS).

    The best way of introducing Drupal is look at the most common questions people ask us about it. Beware: Drupal is addictive, once you hear a bit about it you will want to hear a whole lot more!

    What can Drupal be used for?

    Drupal is so flexible that it can be used for simple personal web sites about you and your dog, right through to complex knowledge management and business collaboration platforms.

    Who uses Drupal?
    Short answer a hell of a lot of people. Drupal websites make up 1.5% of all websites worldwide, pretty impressive huh? Lets look at some of the Drupal website that you may have used before:

    Why use Drupal?

    • You are part of a community – Deciding to build your site in Drupal means deciding to become part of the big Drupal community. This community is made up of thousands of Drupal developers, all developing Drupal extensions. These extension can be used by you as part of the Drupal community. There are around 6000 modules ready for you to add onto your Drupal site. You will find everything from Web2.0 add-ons to CAPTCHAs for your forms, to Lightboxes, all ready to download and integrate into your site.
    • Content Editors will love you – Editing content on a drupal site is easy! When your content editor logs in they will see an edit tab for each panel in the parts of the web site that they can edit. To edit the content they simply click edit and up pops a WYSIWYG editor. All they need to do then is make the changes, save and they are done.
    • Content separate from Presentation – In Drupal the presentation of content is treated completely separate to that content. No longer do you need to think how to amend your branding to suit the new web platform – drupal is flexible enough to be themed to meet your branding needs.
    • URL Control – With Drupal you can give a custom URL for any piece of content (known as nodes) in the CMS.
    • Content organised through a taxonomy – Drupal’s back bone is its taxonomy. The taxonomy is used to organise all the content in Drupal. This allows for easy navigation of the content in a Drupal website and also allows the user to retrieve all content to do with that topic – even if it is user generated.
    • User Management – Drupal allows for the creation of as many user roles as you need in order to manage access control.

      Where do I go for more Information?
      Have a look at the Drupal website on http://drupal.org. If you have any other questions why not give us a shout at Enovation – we would love to talk to you about Drupal!

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    Game In Moodle

    The first time I came across the game module in Moodle I couldn’t but wonder what this could be about. It aroused my curiosity and interest that I spent the entire day digging into its uses and features.

    What is this game module all about? Well, it is an activity in Moodle which can be added to a course. The game module repackages questions, quiz and glossary in a more interesting and appealing way to students.

    The game module comprises of 8 games in all and the game choice can be selected at the point of adding it to a course as an activity depending on the users choice of either questions, quiz or glossary. The game module is designed such that each game works with a specific activity of either quiz, question or glossary.

    It consists of favourites such as Snakes and Ladders, Who Wants to be a Millionaire, Sudoku, Hangman, Crossword, Cryptex, Hidden Picture and questions from books.

    Each of these games are a mirror of the real life game. For instance, with the Snakes and Ladder game, a question is displayed to the student which if answered correctly, displays a number on the dice, then game piece moves up the number displayed on the dice.

    The hidden picture game uncovers each piece of a picture for each question correctly answered by the student. Each number in the hidden picture game displays a question to the student such that when the student answers the question correctly, the number is uncovered to display a piece of the picture.

    The game “Who Wants to be a Millionaire” is again a mirror of the real life game. A question is displayed to the student which if answered correctly moves up to the next number in the game until the user has completed the questions. If a question is answered incorrectly, the game is over.

    A teacher who wishes to ignite the interest of their students in their lectures could, at the end of the lecture use either of the games mentioned above to check the level of  understanding of his students. As this is a much better way of presenting quiz, questions or glossaries to students because it gives the student the opportunity of exercising their knowledge of the lecture and at the same time getting entertained which of course is the purpose of a game.

    It is valuable to create an interesting environment for students which in a way keeps them looking forward to lecture thus arousing their interest in the course. Making learning fun motivates students and helps them pay attention and stay focused on the subject.The game module is a great incentive for this purpose.

    This reminds me of a lecturer of mine in college whose lecture I always looked forward to because unlike other lecturers, at the end of his class something interesting usually happened.

    Lastly, game module is also used in assistive technology helping children with disability learn better because modeling an activity is very helpful.

    In conclusion, the game module is an excellent module which every teacher should be encouraged to use. From the students perspective they get to exercise their knowledge of the lecture via the use of a quiz packaged game.  It is a very easy to use module for both the teachers and students and importantly it is a module that has found great use amongst teachers working with children that have special needs. This very important point is something that we will go into in much greater depth in a future post.

    Until then, enjoying gaming :-)

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