Finnish Math Textbook Pdf

[Victorio Galindo]

TheeMath textbook series is developed by Math teachers from Finland, Sweden and Estonia. The books follow a teaching approach that uses the Structured Derivations methodology, where the idea is that every step is explained in words. This makes it easy to follow the examples that explain the theory. At the same time the approach forces the student to reflect on what they are doing. The books also introduce the students to logic, a step often skipped in school, but without which mathematics becomes magic instead of reasonable and understandable.

Change order, add videos and content from other sources, and embed webpages for active access to other sites. You can also use any existing material that you have, copy from the ones published by Four Ferries or create and share your own material with your peers or even between schools.

Ma.fi offers a comprehensive textbook in mathematics for grades 7-9 in accordance with the new Finnish curriculum(OPS2016) In addition to the common content, we offer a great deal of additional material and advanced content, and the students will always be able to access the materials of the previous and subsequent grades for repetition and more advanced studies. The material consists of history of mathematics, theory, assignments and electronic tests. The assignments are calculated in the students' own notebooks, however, the electronic multiple choice tests are made digitally on the site.

The material has been created in accordance with the student-centered teaching method. This means that the content builds upon the student's core competence. Exercises for problem solving are designed to present the problem just beyond the scope of the students' knowledge, giving the student the opportunity to engage in a new task by utilizing previously gained knowledge. A major part of this process is the discussions with classmates and the use of theory as well as the usage of Internet and other sources of information for learning new things. At the same time, when the student develops his or her mathematical skills, other skills such as collaboration, creativity and technical know-how are also developed.

More and more is discussed about the student's own responsibility in the context of learning. Ma.fi has developed an exercise menu to support the student's work, whereby the student can access the theory related to the exercise directly from the assignment page. For each exercise, the teacher may choose to publish the answer as well as the step-by-step solution. This enables the students to work independently and at their own pace, and the teacher will have more time to provide individual guidance to the students.

At the end of each chapter there are more challenging exercises for the fastest students, and even the most enthusiastic students can find a separate extra chapter to be investigated.

The convenient search function makes it easier to use all the accessible theory in learning. The search function can be found in the main menu, from where the previous theory, which may be needed in solving the problem, is easily accessed.

The students have the opportunity to mark assignments in three different colors: red, yellow, and green. The teacher defines the meaning of the colors: for example, red could mean a task where the student has had difficulties, yellow could mean a finished task, and green could mean task that has been finished and checked. From the assignment page, the teacher can follow the markings of the entire class from a table.

The chapters are also accompanied by a number of digital tests, through which the students can constantly follow the development of their skills. The teacher can follow the performance of his or her students and classes in real time, and through the markings it is easy to see where the students have had difficulties, so that these assignments can be checked together.

In order to enhance learning, the student should meet certain criteria. Among other things, the student should be able to co-operate, to work independently and to use theory and technology. For this reason we have developed an evaluation tool that has a pre-set evaluation matrix, and which can be adapted to the teacher's own wishes and needs. This evaluation model can be used by the teacher to provide continuous, concrete feedback on the student's work. For example, all the areas, which the student must meet during the class, can get points 0-2. At first all students have full score on each of the areas in the matrix, and when the student is unable to meet the requirements of a certain area, the teacher can tell why the requirements are not met, and then lower the points of this area. This evaluation can be used, for example, in forming the evaluation of the lecture activity when defining the grades for the diploma.

Many studies have proven that formative assessment improves the understanding and skill level of the students. This is why Ma.fi wants to offer teachers a tool that can smoothly incorporate formative assessment in the classroom. We offer, for example, a digital whiteboard that can be used to quickly get a real-time response from all students to the question posed by the teacher. In order to involve all students, each student has an own whiteboard on his or her account to which the student writes his or her response. The teacher can simultaneously see the whiteboards of all the students, and can instantly pick up any problems or misunderstandings in the classroom.

The material has been created to work with any device. You and your students access the material on a computer, phone, and tablet - anywhere and anytime! Therefore, the school does not have to acquire new IT equipment for students, as they can use their own personal devices, such as their phones.

In our opinion, the teacher should be able to fully influence the content of the teaching material. With Ma.fi, you have the possibility to edit, delete, add and move all content so that the material is fit for your teaching. In practice, this is done so that you get a copy of the Ma.fi content which you can customize to suit your needs. Your students will see your version of the content.

Ma.fi can handle a variety of curriculums. The material is automatically adjusted to match with the curriculum that your school is using, to optimize your work pace.

The system is designed to be used in electronic format to get rid of unnecessary paper prints. However, we offer the possibility to create elegant handouts of either the entire content or part of it, easily and effortlessly. The handouts have automatic page numbering, table of contents and answers for tasks, and the appearance of the handouts can be customized to suit your needs.

Creating your own exams and assignments is easy, thanks to our handy exam-editing tool. You can easily create PDFs of your exams that automatically output the assignment points. You can also see what kind of exams has been created by other teachers using Ma.fi. Exams created by others can be utilized either in their entirety or by copying individual assignments into your own exams.

We want to offer teachers the easiest way to manage their users. This is why we have created an automatic user management, so the teacher or students do not need to worry about registration or login details. All users sign up and login to the system using their existing accounts (Facebook, Google or Microsoft accounts) - so users do not have to worry about forgetting passwords. The teacher only needs to create an individual class to students and give the class a single-use password that they will use when logging to their class during the first sign-in session. Students log onto the system using their own Facebook, Google or Microsoft accounts, after which they choose the right class, enter the single-use password, and then everything is ready! Students are automatically joined into the right class, and after the first sign-in, they no longer need to use the single-use password, as they are automatically signed in to the right class through their own Facebook, Google, or Microsoft accounts.

Various clever user accounts allow guardians to be added to the system, so they can follow their children's performances and familiarize with the teaching material. Teachers can also add special teachers, substitutes and assistant teachers to the system, and one person may have multiple user roles. It is therefore perfectly possible to be a teacher in one class and a guardian or an assistant teacher for another class at the same time - the system will ensure that user roles are created smoothly and automatically.

I want to be a math professor one day, but I'm wondering how to make my own original problems to give them to my students. I think that it is a responsibility of the professor to create original and useful problems for their students given that there is a lot of solutions online of classic books.

To set the scene for my answer: since 2010 every year I have worked with and taught classes of "very-soon-to-be" students in a so called "Vorkurs Mathematik". This is a 4-week course at the very beginning of your first semester at university, so usually the students have just finished school ("Gymnasium" in Germany which I think would be high school in America?). In this course we quickly review everything they should have learned so far in school and then give some hints of what mathematics is really about (propositional calculus, basic set theory, basic linear algebra...) which usually isn't taught in school anymore. In addition in these past years I have worked with students of different fields (Mathematics, Physics, Engineering, Biology) who are already studying at university. For me three things are important (depending on the level you are teaching of course as @Martigan has pointed out):

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