^{1}

^{*}

^{1}

^{*}

^{1}

^{*}

Design variables of e-learning technologies have gained great attention and concern from developers as well as researchers. So, e-Games design has gained a special concern in its design as an e- Learning technology in accordance with learning theories and instructional models such as Gagne’s theory. This research aims at investigating the effectiveness of an instructional e-game program designed according to the Gagne’s theory on developing mathematics’ achievement among primary school pupils in Saudi Arabia. The research sample composed of 46 female pupils from the fifth grade pupils at King Fahd University of Petroleum and Minerals’ primary schools. Thus, the Developmental Research Method was adopted. The study sample was selected as a purposed cluster one of two classes (sections). The quasi-experimental design with pre and post testing was used. The sample was divided to two equal groups which were randomly assigned as: experimental group 1 (e-Games with Gagne’s theory), experimental group 2 (e-Games without Gagne’s theory); (23) female pupils in each group. An instructional unit has been selected from the 5th grade mathematics curriculum, its content was analyzed to drive the mathematical achievement categories of knowledge and cognitive skills. Then, a list of instructional design standards was derived for designing the instructional e-Games. The two instructional e-games programs were developed by the 1st author using Elgazzar (2002) ISD Model of the 2nd author: one e-Games program with Gagne’s theory and the other one e-Games program without Gagne’s theory. Both the instructional e-games programs were refereed, revised and approved according to those derived standards of instructional design. A Mathematics Achievement Test was developed and approved to be valid and reliable. The 1st author carried out the research experiment according to the experimental design. So; the first experimental group 1 was taught using the e-Games program (according to Ga- gne’s theory), and the experimental group 2 was taught using e-Games program (without Gagne’s theory). The research instrument was implemented pre and post experimentation according to the experimental design. Data were collected and encoded to the SPSS package and ana-lyzed using appropriate statistical methods to test the research hypotheses. Research results have revealed that there is no effectiveness of e-Games Program with Gagne’s theory as compared with e-Games without Gagne’ Theory in developing the Achievement of Mathematics, and this result gives an answer to the main research question that designing instructional e-Games program based on Gagne’s Theory doesn’t have any comparative Effectiveness in Developing Saudi female pupils’ in the Achievement of Mathematics. This result calls for further research on other learning outcomes of Mathematics’ learning. The article includes Tables, References, Recommendations, and a list of proposed future researches.

Educational and training technology as an applied scientific field is being developed due to the research and development in its innovations, increasing knowledge, and concerns to its design variables. The attention has become not only the effect of the use of these innovations on learning outcomes, but extended attention to how to design these innovations and discovering effectiveness of these modern designs. The educational games―in general―have benefits and potentials, and electronic games―in particular―are of those innovations that need more research in their design variables and discovering their effectiveness. The current research is in line with these guidelines in discovering the effectiveness of new design of e-Games according to Gagne’s theory in developing achievement in school mathematics.

Din & Calao [

Since the late of 1970s and the early of 1980s, Gagne’ as an instructional technology Scholar [

There are some theoretical foundations that are supporting the expecting potential and positive effect of educational games/e-Games on instruction and learning outcomes of mathematics’ achievement. Basically, games have some motivational characteristics such as competitions, rewarding, challenges, and eagerness for winning that have potential in developing learning outcomes. Gunter, Kenny& Vick [

Authors set some design aspects of guidelines from Gagne’ Theory in e-Games so as to be considered as bases for developing educational e-Games program. Those design aspects of the nine instructional events are as follows:

1) Gaining the learner’s attention is to be at the beginning of the game and through-out the game. Basically, introductory screens, logos, logo of the Ministry of Education, objectives of learning from the game, clear rules of the game, visual and sound effects, multimedia, on-screen display of important events and variable, and avoidance of distractions are all of good attention gaining for e-Games.

2) Informing the learner about learning objectives is very essential design aspect. Several ways are to be considered to inform the learner about learning objectives. These include but not limited to allocating some of the screens at the beginning of the program in general, starting each game with a list of its learning objectives, and clarity of learning objectives’ statements, and suitable location of objectives on screen layout.

3) Calling the learner’s required previous experience relevant to the learning is essential design aspects to bring meaningful and understandable learning. This can be done through the provision of a range of relevant questions, relevant situations, providing introductory screens at the beginning of each e-Game for the learner to practice required information to be ready for that game, good sequencing of e-Games as well as events within each e-Game, and helping the learner to remember some of the concepts that have already studied and needed for him to achieve his learning objectives while winning the e-Game.

4) Content Display (stimuli), this event can be done in the course of the e-Games sequencing the content as along with the game, equations, algebraic expressions, graphics, good screen layout, texts, sounds, sequencing small questions, and multimedia.

5) Provide guidance and assistance, this event can take different types that may include guidance and help for game controls, giving hints, providing information to help learner not to quit the game. Also, hints and cues to make learner proceeds an win the game and achieve learning objectives.

6) Provide practice for eliciting required performance. This event may be accomplished during playing the e-Game by giving practice to elicit the required responses, giving a sequence of questions and places on the screen for the learner to submit answers, gradual presentation of the questions from the simple ones to the complex ones, from easy ones to difficult ones, providing respond area that appear in the same screen where the question to appear to answer it, diversity of interaction offered by the game for the learner between clicking the key, or choose from a drop-down list, or move an item from one place to another in the same screen patterns, or enter text using the keyboard.

7) Provide feedback: This event is to give the student direct feedback after every activity, appropriate feedback as soon as the student response to any question presented during playing the game, varying types of feedback, varying feedback amount from short to long, varying feedback between one medium to multimedia.

8) Assessing performance: This event can be done within the game, between games, or after related games, self-assessment tests, quizzes, formative and summative tests, e-tests, and may be paper answered tests. These assessing performance tools are given to learner during the e-Game to monitor accomplishing objectives and mastering learning.

9) Enhancing retention and transfer of learning: This event can through providing concept maps, diagrams of information after segments of games, giving practices to apply learning, assignments, providing summaries, using colored texts, highlighting texts, stressing important points, and providing more applications to what is learned.

Those Design Aspects of Guidelines from Gagne’ Theory’s works as a flexible framework for designing educational e-Games with Gagne’ Theory.

Instructional Systems are dynamic, interactive, interrelated components of learning resources (people, materials, content, devices, facilities, techniques to achieve pre-specified instructional objectives. Instructional Systems Development is the application of systems’ development procedures (Analysis, Design, Develop/Produce, Evaluate, Utilize, Feedback, and Revise) of instructional systems [

The research problem has been stated as “there is an urgent need to get an e-learning solutions as e-Games to meet decline in students’ achievement and to discover the answer of the question: Does Gagne’s Theory have any Effectiveness in Developing their Achievement of Mathematics?” and a main research question was to be answered: is the design of e-games according to Gagne’s theory (WGT) effective in developing achievement among primary school pupils in mathematics? Four sub-questions have been derived:

1) What are the content components for students to achieve from a selected unit from primary school mathematics?

2) What are the design standards of e-Games program to development of achievement in mathematics?

3) What are the WGT and WoutGT designs of e-Games programs according those standards using Elgazzar ISD model (2002) to develop students achievement?

4) How effective is the implementation of these two designs WGT and WoutGT of e-games in developing achievement?

The Developmental Research Method as described [

1) Descriptive research method implemented in students’ characteristic analysis, course content analysis, resources analysis, and establishing design standards list of the e-Games designs,

2) Systems Development Method in terms of implementing Elgazzar ISD Model [9,10,14] in developing the two designs of e-Games WGT and WoutGT, and

3) Experimental research method in the research experiment to investigate the comparative effects of the two designs WGT and WoutGT of e-Games on students’ mathematics achievement.

Researchers started with conducting content analysis of the “Algebraic Expressions and Equations” Unit of primary school mathematics as it is required to Elgazzar ISD model (2002). This unit contains eight lessons. The content analysis component of achievement was refereed and was used to derive instructional needs, instructional objectives, and the cognitive achievement test. So, the first sub-question has been answered.

Based on extensive literature reviews, eLearning standards, and e-games designs, Guidelines from Gagne’s theory of Learning and Instruction, Design Aspects of Guidelines from Gagne’ Theory in e-Games, analyses of learning content in (1), and phases of Elgazzar ISD Model a list of instructional design standards were derived and was subjected for refereeing from experts. The final most agreed upon list of standards and their indicators became (10) standards and (77) of their indicators. So, the second sub-question has been answered.

The Elgazzar (2002) ISD model was selected for developing the two treatment programs of e-Games as it was mentioned earlier. A very lengthy details of developmental tasks were done on applying Elgazzar ISD Model (2002) in

Research sample of this research was a purposive clustered sample. It was consisted of (46) of female pupils from two classes from 5th grade in one elementary schools, Khobar Governorate, KSA. This sample was divided randomly into two groups of (23) pupils each. The two experimental groups with pretest-posttest Quasi-Experimental Design was used with pre-post tests. So, pretest and posttest of achievement of mathematics was to be applied on the two groups.

Authors developed a Test of Achievement of Mathematics (TAM) as the research tools of this research. The test was built on learning objectives and was consisted of (24) items in the form of varied forms of objective test items on mathematics components of achievement of from analyses in (1). TAM validity was done by specialists in the field of educational technology and mathematics education. The reliability of the test carried out on its pretest data, the calculated Cronbach’s Alpha (α) coefficient was (α = 0.82). This value has confirmed the reliability of the achievement test of mathematics. So, it is shown that the test is valid and reliable test for the purpose of this research.

The 1st author carried out the implementation of the two e-Games program designs: WGT and WoutGT during the 1st semester of the year 2013-2014 according to the experimental design. Pupils enjoyed studying from the two treatments. The process of studying the e-Games programs was guided by the 1st author. The experiment lasted about one month. Group one studied using the educational e-Games WGT program while the other group studied using the educational e-Games WoutGT design. Pretest and posttest of the achievement of mathematics were implemented. Data was collected and coded to SPSS Package.

Researchers applied descriptive statistics procedures using SPSS statistical procedures to compute means and standard deviations for the two e-Games program designs: WGT design and WoutGT design as in

Research variables | e-Games program designs | |||
---|---|---|---|---|

WGT design (23) | WoutGT design (23) | |||

M | SD | M | SD | |

Posttest of TAM | 23.39 | 5.09 | 24.57 | 3.67 |

Pretest of TAM | 8.26 | 5.30 | 7.43 | 3.00 |

Gain of TAM | 15.13 | 5.01 | 17.13 | 4.88 |

To answer the fourth sub-question, tow hypotheses were formulated tested as follows.

Hypothesis (1): There are significant differences at level (α ≤ 0.05) between the two means the WGT design and WoutGT design of e-Games in posttest and gain scores of TAM for the WGT design.

To test this hypothesis, the independent samples t-test was applied to test the significance of the differences between means of the posttest scores an gain in TAM scores. So for the posttest scores in

To make sure that there may be a significant difference between the two e-Games designs’ means of posttest of TAM isn’t due to differences in both pretests of TAM, another Hypothesis (2) was formulated and tested to check the difference between posttest of TAM when pretests’ scores of TAM are controlled.

Hypothesis (2): There is a significant difference at level (α ≤ 0.05) between the two means of the WGT design and WoutGT design of e-Games in posttest when controlling the pretest scores.

Researchers applied one-way ANCOVA to test Hypothesis (2).

These results revealed that both WGT e-Games design and WoutGT design weren’t effective even after controlling the effects of the pretests’ scores of TAM as covariates in the ANCOVA model. This clearly shows that designing educational e-Games with Gagne’s Theory doesn’t have any comparative Effectiveness in Developing 5th Grade Saudi Female Pupils Achievement of Mathematics. These important results raise the issue that there may be another factors that are being involved in TAM other than designing e-Games WGT such as students characteristics and the content nature and characteristics of mathematics. When dependent t-tests were applied to test significance of the observed differences between pretests of TAM and posttest of TAM in both e-Games designs, t-tests showed the that these difference were significant at the at level (α ≤ 0.05). This really means that both e-Games designs are equally effective on developing achievement of mathematics of Saudi female 5th grade pupils.

Based on these findings of the research, the following practical recommendations can be driven:

Test scores Group | N | Mean | SD | t | df | significance | |
---|---|---|---|---|---|---|---|

Posttest TAM | WGT | 23 | 23.39 | 5.09 | 0.90 | 44 | 0.37 |

WoutGT | 23 | 24.57 | 3.67 | ||||

Gain of TAM | WGT | 23 | 15.13 | 5.10 | 1.36 | 44 | 0.81 |

WoutGT | 23 | 17.13 | 4.88 |

Source of Variance | SS | df | MSS | F | significance |
---|---|---|---|---|---|

Pretest of TAM | 104.48 | 1 | 104.48 | 5.91 | 0.02 |

e-Games designs | 24.60 | 1 | 24.60 | 1.39 | 0.25 |

Error | 760.65 | 43 | 17.69 | ||

Total | 27329.00 | 46 |

1) These two developed educational e-Games designs: WGT and WoutGT should be used in improving mathematics learning in 5^{th} grade in Elementary School mathematics curriculum in public and private education.

2) The list of instructional design standards of educational e-Games which developed in this research should be adopted by researchers and e-Learning. developers in e-Learning and distance learning centers.

3) The instructional design model of Elgazzar (2002) should be used in developing e-Games and other e-Learning resources in direction of Gagne’ Theory of instructional events.

The following future researches are suggested:

1) Studying the effects of designing educational e-Games with Gagne’ Theory on developing higher cognitive skills such as problem solving skills.

2) A fellow-up of the effects of designing educational e-Games with Gagne’ Theory on developing mathematical thinking, curiosity, and creative imagination among elementary stage pupils.

3) Using developmental research method in as defined by Elgazzar [

4) Studying the effects of the interaction between these two e-Games’ designs and cognitive styles on developing achievement of mathematics and mathematical problem solving.

This research has been done as a part of King Hamad Academic Chair of eLearning activities, Distance Learning Dept., Arabian Gulf University. The authors are deeply giving special thanks to Arabian Gulf University for supporting them to attend the CITE 2015. Special thanks go also to CITE 2015 for honoring Elgazzar―the second author―Chairing the CITE 2015 Conference session, Shanghai, China.

Salma Katib S. AL-Shammari,Abdellatif E. Elgazzar,Ahmed M. Nouby, (2015) Designing an E-Game Program in Mathematics for 5th Grade Saudi Female Pupils: Does Gagne’s Theory Have Any Effectiveness in Developing Their Achievement of Mathematics?. Open Journal of Social Sciences,03,40-48. doi: 10.4236/jss.2015.32007