Hipotesis Lintasan Belajar

Hipotesis lintasan belajar (HLB) merupakan instrumen yang digunakan dalam penelitian desain ini yang dapat menjembatani antara teori dengan eksperimen.  Istilah hipotesis lintasan belajar digunakan oleh Simon (1995) dengan istilah Hypothetical Learning Trajectory (HLT).  HLB sesungguhnya adalah hipotesis yang dibuat oleh peneliti mengenai proses belajar yang akan terjadi pada saat pelaksanaan pembelajaran di kelas. Hipotesis ini dibuat untuk mengantisipasi segala kemungkinan yang dapat muncul di kelas, sehingga peneliti dapat meminimalisir hal-hal yang tidak diinginkan. Hal lain yang juga penting adalah bahwa HLB dibuat berlandaskan teori yang sudah dikaji sebelumnya.

Hipotesis lintasan belajar  memberikan perencanaan harian bagi guru dan peneliti mengenai rangkaian aktivitas dalam melaksanakan eksperimen di kelas.  Di dalam HLB, peneliti memaparkan kegiatan pembelajaran yang akan dilakukan. Kegiatan pembelajaran ini diurutkan sesuai dengan tahapan pemahaman konsep yang biasanya termuat dalam kegiatan (Gravemeijer, 2004). Read the rest of this entry »

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Posted by on June 11, 2015 in Uncategorized


Learning from The Ambassador

A very impressing General Lecture from Moazzam Malik, the ambassador of UK and Ireland for Indonesia. He came to Universitas Muhammadiyah Surakarta to deliver speech regarding many issues such as economics, politics, social, health, education, etc. But, from all that issues, the important thing is that we can learn from each other about the way of both UK or Indonesia deal with the problems related to that issues. I would not tell about the whole story about this lecture and I will focus on two things regarding his perspective about education.

The first thing is about studying abroad. He emphasized about the importance of studying abroad. It is not only about the knowledge and skills related to our major but also about the skills of living in a land of different cultures, different language, and perhaps also different religion.Learning on how other people solving problems, learning on how to respect diversity, and learning on how to work and how to build relationship with people from all over the world. To support the willingness of students on studying abroad, the UK give

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Posted by on June 8, 2015 in Uncategorized


The Use of Concrete Contexts for Conceptual Change in Addition Of Fractions

Addition of fractions is one of mathematics topics which are learned by elementary school students. However, in general, students’ achievement on this topic is not good enough. The possible cause is because students find some difficulties when they are learning the domain of fractions. As Prediger (2006) wrote that in many different countries, empirical studies on students’ competencies and conceptions in the domain of fractions have shown enormous difficulties. In term of addition as one of operations applied in fractions, the relationship between integers and fractions is sometimes dangerous to students as they tend to analogize the concept. They often choose the easiest way to solve addition of fractions problems by using this following rule.  Read the rest of this entry »

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Posted by on November 8, 2013 in Papers


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Applying an Inquiry Approach in Mathematics Learning

Inquiry-based learning is one of the instructional approaches which teachers implement in science learning. Related to this issue, Van Rens et al. (2009) stated that for some decades, inquiry tasks have been a feature of school science in various countries. A research in high school biology students in Israel found that students felt more involved in the project and get deep understanding through inquiry learning (Sadeh & Zion, 2011). The similar trends are also revealed in both physic in the United States and chemistry in The Netherlands (for a review see McBride et al., 2004; Van Rens et al., 2009). In general, inquiry as an instructional approach has shown positive effects on students’ understanding of science concepts.

Talking about inquiry, it is defined as seeking information by questioning (Exline, 2004). Moreover, Exline explained that the process of inquiring begins with gathering information and data through applying the human senses which are seeing, hearing, touching, tasting, and smelling. Read the rest of this entry »

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Posted by on November 8, 2013 in Papers


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Education System in Indonesia

The recent education system in Indonesia emphasizes the development of students’ thinking skill. According to the regulation of Indonesian education system, “education is a conscious and deliberate effort to create an atmosphere of learning and the learning process so that learners are actively developing the potential for him to have spiritual powers religiously, self-control, personality, intelligence, noble character, and skills needed themselves, the community, the nation, and the state.” The idea is in line with the education in enlightenment era. As it was mentioned, “during the Enlightenment, which is also called the Age of Reason educators believed people could improve their lives and society by using their reason, their powers of critical thinking” (cited from The development of students’ thinking skill is the main purpose of national education system. Read the rest of this entry »

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Posted by on November 8, 2013 in Education


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David Eugene Smith

Hipparchus (180 B.C – 125 B.C), the greatest of Greek astronomers, was born at Nicaea and died in Rhodes. His famous work on astronomy became the fundamental principle of science. As he needed to measure angles and distance on a sphere for his work, he developed a kind of spherical trigonometry. He made computation of chords of angles and in graphic solution of spherical triangles. In those computations, Hipparchus found some trigonometric formulas such as sin (A±B), cos (A±B), and the radius of the circumscribed circle (R=abc/4∆). He also wrote about the theory of stereographic projection, a phase of geometry which has been proposed by Agatharchus (470 B.C). The theory was used by Hipparchus to represent the projection of the celestial sphere upon plane of the equator. He listed 850 fixed stars which increased to 1022 by Ptolemy (150 B.C) and there was no significant increase until modern time. Hipparchus also gave contribution in the making of Athenian Calendar. Read the rest of this entry »

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Posted by on November 8, 2013 in Historical Highlight


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In our daily life, we are certainly familiar with these following things:


Rice Cone



Es Krim

Ice Cream



Farmer Hat

Farmer Hat

If we look at the objects carefully, we will find that those things have the same shape. Yes, the objects are equally formed one of solid figures with curved surfaces, one of learning materials which have been learned in Elementary School. As we have been learned, solid figures with curved surfaces consists of three types namely cylinder, cone and sphere. What about the things above, are they cylinders, cones or spheres? Look at the objects around us and find the other objects which have the same shape with the objects above! Read the rest of this entry »

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Posted by on December 26, 2012 in Math Exercises


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