Schools use E-portfolios to demonstrate and reflect on teaching methods and enhance professional growth. This paper analyzes electronic portfolios for culturally and linguistically relevant mathematics training. This study investigates three AITSL-compliant high school mathematics artifacts.
First, student work demonstrates educational goals. This artifact can test the distributive property. Teacher polls reflect positive and negative class participation. This knowledge improves lesson plans for student learning and instructor advancement.
Finally, the teacher’s original lesson plan indicates how they planned to assess pupils utilizing ICT and eSafety. This paradigm uses interdisciplinary methods, artificial intelligence, and ICT to tailor training to different pupils. This AITSL-compliant e-portfolio is committed to a rich, engaging mathematics education that prepares pupils for the real world.
Annotation of Three Artefacts
Artefact 1: Student Work Sample (Professional Knowledge)
The first artifact in a student’s online portfolio should be the assignment they turned in for their math class. Students would be taught how to solve linear equations by applying the distributive property to expressions with variables on both sides. This was going to be the primary focus of the lecture. Because the student has demonstrated that they know the material, the work sample demonstrates that the learning goals and objectives have been met (Tay & Lam, 2022).
The work completed by the student exhibits careful application of the distributive principle and contains comprehensive and well-considered solutions to each problem. Using the distributive property, the student has demonstrated their ability to alter algebraic formulas. In addition, the student’s work demonstrates an ability to solve equations with variables on both sides, which is evidence of a deeper knowledge of the fundamental algebraic notion.
This artifact exhibits the teacher’s ability by showing that they can develop lessons that assist students in comprehending abstract mathematical ideas. According to Seo et al. (2021), when learning activities are connected to specific objectives, students can connect the outcomes they have experienced and desired outcomes. This increases students’ motivation and engagement with the learning process, increasing their likelihood of success.
Teachers can gauge their students’ comprehension of the distributive principle by reviewing representative works produced by the students. Teachers can learn a lot about their student’s strengths and areas where they need improvement simply by examining their pupils’ work. Using this data, teachers can more successfully tailor their lectures to the needs of each student (Seo et al., 2021).
Artefact 2: Teacher Feedback Questionnaire Data (Professional Engagement)
Students’ replies on a teacher evaluation form distributed after the math lesson make up the second artifact (Tay & Lam, 2022). This feedback aimed to understand more about how the students perceived their level of involvement throughout the class delivery and the effectiveness of the learning facilitation.
The overwhelming majority of the students expressed gratitude to the instructor for providing engaging exercises and clear explanations, which contributed to the feedback’s generally positive tone. According to the students, the hands-on exercises and interactive conversations helped them better understand the distributive property concept.
On the other hand, only a tiny percentage of students claimed that certain session elements were challenging. They also noted how difficult they found the section dealing with negative coefficients. This information clarifies a discrepancy with the established AITSL standard, showing that the lesson plan must be modified to successfully promote student learning and meet certain requirements (Tay & Lam, 2022).
The lesson plan might be adjusted to include more guided Practice and visual aids to help with comprehension to solve this problem. This would be carried out to aid students in comprehending the subject matter better. Tay and Lam (2022) assert that it is essential to offer differentiated education, which entails offering many entry points into a subject. Giving pupils a choice in how to approach the subject is one method. This is done to accommodate the wide range of educational needs the student body possesses. The classroom can become a more welcoming place for students from diverse backgrounds and have varied approaches to learning if the instructor uses a wide variety of visual aids and supports at varying degrees of intensity.
Artefact 3: Lesson Plan with ICT Integration (Professional Practice)
The original lesson plan for the algebra lesson is the third artifact included in the e-portfolio. This lesson plan effectively combines information and communication technology (ICT) to evaluate student learning (Tay & Lam, 2022). The student’s overall learning experience will be improved due to the use of various tactics designed to engage them in the subject matter and give them timely feedback on their performance.
Interactive whiteboards enable dynamic presentations and demonstrations of algebraic concepts, hence appealing to various learning styles. Research conducted by Shvarts (2021) demonstrates that using interactive whiteboards is beneficial to increasing student engagement and mathematical comprehension in the classroom.
Pupils can work at their own pace while receiving assistance when required, thanks to incorporating educational apps into the lesson plan, which enables tailored learning experiences for pupils. This feature is in line with AITSL, which emphasizes the significance of recognizing and responding to the unique variances in the learning styles of individual students.
Using eSafety principles guarantees a secure online learning environment where students can investigate topics of interest and work together on projects without jeopardizing the confidentiality or safety of their personal information (Tay & Lam, 2022). This demonstrates the instructor’s dedication to establishing a digital learning environment that is both welcoming and risk-free for all students (Shvarts, 2021).
The lesson plan reflects effective professional Practice in mathematics education by using various resources related to information and communications technology (ICT). Not only can the use of technology improve assessment methodologies, but it also helps students develop their digital literacy abilities, which better prepares them for the workforce’s needs in the 21st century (Seo et al., 2021).
The three e-portfolio items show the teacher’s dedication to providing mathematics instruction that is both inclusive and sensitive to cultural differences. Student work samples and teacher feedback forms can enhance learning facilitation. ICT integration into the lesson plan is a great practice for gauging student performance and enhancing access to digital resources. E-portfolios aid educators in enhancing their lessons and cultivating a lifelong love of mathematics.
III. Modification of Lesson Plan for Cultural and Learner Diversity
Implementing Culturally Responsive Pedagogy
Culturally responsive pedagogy creates a welcoming learning environment by respecting each student’s culture (Will & Najarro, 2023). We will teach culture-appropriate math. Indigenous ATSI concepts and examples can boost students’ emotional investment in mathematical problem-solving (Shvarts, 2021). Land management and narrative can cause word difficulties (Seo et al., 2021). This math and ATSI strategy boosts cultural identity.
Students will appreciate their classmates’ ethnic backgrounds in a welcoming learning environment (Will & Najarro, 2022). Math may discuss students’ narratives, worldviews, and cultural traditions. Consider your students’ perspectives and experiences while motivating them.
Culturally responsive pedagogies in the new lesson plan engage ATSI students and give them positive math representations of themselves and their cultures.
Integration of Cross-Curriculum Priorities
Cross-curriculum math can better meet student needs and accommodate learner diversity (Will & Najarro, 2023). Sustainability, ethics, and literacy may help pupils understand mathematics.
Algebraically solve sustainability by including environmental issues. Students should evaluate environmental impacts when responding to resource management or environmental protection scenarios (Shvarts, 2021). It improves critical thinking and global understanding.
Mathematical dilemmas can involve ethics. Jablonka (1970) proposes that students examine ethical or fair resource allocation equations when making financial judgments. This method teaches math and ethical decision-making.
Math-related reading and writing can boost literacy, problem-solving, word puzzles, and algebra (Shvarts, 2021). Integration benefits all students, especially language learners.
The revamped lesson plan emphasizes cross-curricular priorities to produce socially responsible people who can make informed judgments in many circumstances while improving mathematics understanding (Shvarts, 2021).
Utilizing AI and ICT for Personalized Learning
AI and ICT will personalize learning in the new curriculum (Will & Najarro, 2023). Adaptive learning technologies provide hard but manageable content (Seo et al., 2021). The AI system’s performance data analysis can identify areas that need further instruction to meet each student’s needs.
The lesson plan will include ICT resources for different learning styles (Shvarts, 2021). Deaf and hard-of-hearing pupils can watch interactive whiteboards and listen to recordings. Digital math tools can help kinesthetic learners (Jablonka, 1970).
AI-powered educational apps give students immediate feedback, which improves study habits and development. Rapid feedback lets pupils study independently. AI and ICT assist heterogeneous pupils in success (Jablonka, 1970).
Algebra classes have been redesigned for all students. Indigenous views, cross-curricular priorities, AI, and ICT, make the new lesson plan exciting and engaging for all students. These improvements help teachers create a friendly, respectful, and motivating math classroom.
E-portfolios have been shown to improve math learning and culturally responsive education. AITSL-compliant artifacts proved that the lesson plan worked. ICT in the lesson plan shows best practices for evaluating student progress and encouraging digital literacy, and the teacher feedback survey led to the necessary revisions. E-portfolios let teachers analyze and improve their teaching methods, which helps pupils learn arithmetic better. E-portfolios can inspire pupils to reach their mathematical and personal potential.
Jablonka, E. (1970, January 1). Critical thinking in mathematics education. SpringerLink. https://link.springer.com/referenceworkentry/10.1007/978-3-030-15789-0_35
Seo, K., Tang, J., Roll, I., Fels, S., & Yoon, D. (2021, October 26). The impact of artificial intelligence on learner–instructor interaction in online learning – international journal of educational technology in higher education. SpringerOpen. https://educationaltechnologyjournal.springeropen.com/articles/10.1186/s41239-021-00292-9
Shvarts, A. (2021, September 1). Book review: Transforming mathematics education: From embodied experiences to an ethical commitment. Luis Radford (2021) The objectification theory: A Vygotskian perspective on knowing and becoming in mathematics teaching and Learning – Educational Studies in mathematics. SpringerLink. https://link.springer.com/article/10.1007/s10649-021-10095-4
Tay, H. Y., & Lam, K. W. L. (2022, April 27). Students’ engagement across a typology of teacher feedback practices – educational research for policy and Practice. SpringerLink. https://link.springer.com/article/10.1007/s10671-022-09315-2
Will, M., & Najarro, I. (2023, March 24). What is culturally responsive teaching? Education Week. https://www.edweek.org/teaching-learning/culturally-responsive-teaching-culturally-responsive-pedagogy/2022/04