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19:Tc25,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

基本問題を解き、わからないところは教科書や参考書に立ち返り復習する癖をつけましょう。
そして解法パターンを身につければ、応用問題も怖くありません。

数学はとにかく問題を解けばいい、と思っていませんか？
実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。

しかしこの勉強法は間違っている、と浪人してからやっと気付きました。

数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。
これが解ければ模試の大問もほぼ完投できます。


このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
1b:T16d3,はじめまして、こんにちは！
質問ありがとうございます！　
本番の試験で目指す数学の得点率にもよりますが、6割〜6.5割のラインまでは、考えていらっしゃる勉強内容で到達できると思います。あまり多くの参考書に取り組むよりも基礎、応用などが明確に分かるものを完璧にして過去問に入る形で大丈夫です。ただ、勉強の際に注意してほしいことが３つあるのでそちらを参考にしてほしいです。
①参考書に取り組む際には必ず目的意識を持つこと。
フォーカスゴールドであれば基礎力の強化、文系数学の実践力向上であれば応用力、基礎力として身につけた力の使い方の練習といったようにそれぞれの参考書を使って自分が身につけるべきことを常に意識して取り組んでください。
②復習を徹底すること。
数学は苦手教科のようなので、基礎的な問題であっても解けない、分からないこともあると思います。特に基礎を身につける段階においては、できないものは仕方ないと割り切って考え方を身につけてください。その際に注意することは「問題の本質を意識して復習すること」と「復習をする頻度」です。
まずは問題の本質を意識するとは、ただ例題が解けるようになったから合格とするのではなく、その解放に至った経緯や設問の設定の確認をしたり、小問で誘導がある場合はその誘導を外しても解答が作れるかを確認したりすることで、問題の本質というものが少しずつ見えてくると思います。私は、こうしたことを付箋に一言だけ書いてあとで参考書を見直したり、模試の解き直しで使ったりする時に一目で分かるようにしていました。それから、その問題を他人に説明できるかどうかということを復習合格のラインにしても良いと思います。
次に復習の頻度です。あくまで一例としてあげておくので参考にしていただけると幸いです。　午前中に数学の勉強をする→その日の夜にその日勉強した内容を復習する（解法に至るまでの手順や問題の要点をチェック）→3日後にも同じことを繰り返す→1週間後にも同じことを繰り返す→1ヶ月後にも同じことを繰り返す（この時、スラスラと要点や解法を思い浮かべることができたらとりあえず身についているとしてよい）→その後は身についていない考え方を隙間時間を使って復習する。　この時大事にしてほしいのは、時間の意識です。他の科目にもたくさん時間を使いたいと思うので、実際に解答を書くのは最初の1、２回でそれ以降は読んで流れを思い出すことにシフトすると効率的に勉強できると思います。また、ミニノートなどに問題と要点だけ書いて信号待ちする時間に開いて復習するなど隙間時間で片付けてしまう勉強方法もおすすめです。
③、①に関係することですが、基礎と応用や過去問で勉強の仕方を変えてください。
基礎の時はとにかく知らないことを吸収することが必要になるため復習に時間を使い、応用や過去問では、初見の問題と対峙した際に知ってる解法に導く力をつけるために自分で考える時間を確保することが大切だと思います。最低でも15分は確保すると良いと思います。それから、復習も応用や過去問演習になると行き着く解法は基礎的な部分で勉強したものが中心になるので、そこにたどり着くためのプロセスや考え方に重点をおいて復習することが大切だと思います。

ここからは私、個人の経験談になるので時間が無ければ✴️まで飛ばしてください。
私も浪人生でした。最初は数学が1番の苦手科目でただ量をすることで力が着くものだと思っていました。しかし、上記に書いたようなことを意識して取り組むことで秋以降に数学も伸び、試験前には数学が強みになっていました。数学は模試の内容が網羅的に出題されるため一朝一夕の勉強では結果が目に見えにくい科目だと思います。その分、完璧な基礎を身につけることで応用問題や過去問に取り組んだ際に高確率で知っている解法に帰着できるようになり、成績も大きく上がる科目だと思っています。また、基礎が分かると解ける問題の幅が一気に広がると思います。
✴️数学はできるようになるまで少し時間がかかりその期間は特に大変だと思いますが、必ず覚醒する時がきます。浪人時代はもう2度と経験したくないような日々でしたが、それを乗り越えて勝ち取った合格は言葉では表現できないような喜びと達成感に溢れていました。だらけて勉強をサボってしまいそうになったら、応援してくれる友達や家族に感謝の気持ちを示すために自分ができることを考えてみてください。ただ、浪人生だからといって勉強ばかりして、精神的に限界がくることのないように気分転換の時間も作りながら、健康を第一に考えて試験日を迎えてください。心から応援しています。努力が報われる日は必ず来ます！！稚拙な文章ですが、参考になれば幸いです。1c:Teb3,こんにちは！

数学の勉強について、2点お話しします。

①文系最高峰と言われる一橋数学のレベルでも、典型的な解法の充実が最も大切です。一橋大学の数学は一見すると解法が全く思いつかないような問題でも、図式化したり具体的な値を代入して考えてみたりすることで基本的な問題に帰着することがよくあります。基本的な問題に帰着というのは基本レベルの網羅系参考書に載っているような考え方で最後答えに辿り着けることがあるということです。そのためには基本的、典型的な解法にすぐ反応できるようにしておく必要があります。（具体的に典型解法とは青チャートのコンパス3個分ぐらいのイメージです。）このレベルの解法は網羅系参考書で何度も何度も繰り返すべきだと思います。覚えるというと暗記してるだけのように思われがちですが、仕組みや原理を理解した上で典型的な解法については考えるよりも先に体が動くぐらいまでやり込むべきだと思います。質問の答えとしてはまずは確実な理解を心がけた後は忘れることをあまり気にせず、繰り返すことが大切だということです。忘れてしまうのは確かに根本的な理解が不足している場合も考えられますが、基本レベルの問題は何より繰り返しましょう。

②夏に到達したいレベルについては、もちろん理想は偏差値も高ければ高いほどいいと思いますが、社会学部志望であれば夏前あるいは夏休み中に青チャートのコンパス3個分までが確実に備わっていればそこからの過去問演習や2次試験レベルの演習で伸ばすことが可能だと思います。何より重要なのは基礎をおろそかにしないことです。実力の足りなさや問題の難しさに動揺したり焦りを感じたりして難易度の高い演習にすぐに移ろうとはせず自分の進行度と向き合って基礎を固くすることが大切だと思います。

+α 
典型解法の充実の重要性について書きましたが、一橋大学の数学は過去問演習が大きな意味を持ちます。過去と似た問題や似た考え方が出ることが今までかなりあったからです。もちろん網羅系参考書などで全ての範囲をおさえることを目指すとともに、早めの過去問演習で傾向を掴み、社会学部であれば特に出る単元にある程度集中して対策することも現実的なプランだと思います。一橋数学では、整数、確率、平面図形、空間図形、数列、微積などが頻出です。

また、質問とは直接関係ありませんが演習を解いていく上で１つのノートを作る勉強が個人的に効果的でした。そのノートには演習をやる中で間違えた部分をまとめておくものですが、間違えた問題とその解法などを書くのではありません。数学で難しいのは解法の一手目が思いつかない時全く歯が立たないことだと思います。そのため、問題を解いてて解法が思いつかず解答などをみた時にどうしたらこの一手目を思いつくかまでしっかり考えてそれをノートに書いておくのです。一手目を思いつくヒントになる問題文の文章や設定とセットで、一手目の考え方をメモしておくことで少しずつ「一手目の考え方」を蓄積していくことができ、後で見返すのにも便利です。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=_VxQ8GQBp00JfyF5_i2r","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学 勉強法"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left 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国語\n\n中高サッカー部（キャプテン）\n進学校卒です。\n自分の周りの東大京大一橋東工大合格者の話や、私立専願の人も話もできます。"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink パンフレットバナー画像","className":"mt-4 rounded"}]}]}],["$","div",null,{"className":"pt-4","children":["$","$L17",null,{"id":"adsbygoogle-init-under-advice"}]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","h1",null,{"className":"text-xl font-semibold","children":["コメント(",0,")"]}],["$","$L18",null,{"adviceId":"_VxQ8GQBp00JfyF5_i2r"}]]}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"text-xs 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mb-1","children":"解法暗記はあまり賢い方法とは思いません。解法の暗記では、数字が変わっただけの問題なら解けるようになるかもしれませんが、基本原理が同じだけど全然違って見える問題には基本的に対処できません。そうなら、全てのパターンを覚えればいいとなりそうですが、全てのパターンを覚えている間に本質を学んでいる人は数学の勉強でさらに高みに、なんなら他の科目の勉強へと行ってしまいます。\n数学というのは頭を使いながら手を動かして学ぶ科目なので、そもそも暗記というものに適してないのです。\nそもそも、試験問題を作る難関大学の先生方は暗記だけで解けるような問題は嫌います。基礎的な考え方を理解した前提で一捻りや二捻りを加えてきます。\nですので、個人的には本質を理解して多くのタイプの問題に立ち向かって考える力を養うことをおススメします。今までの勉強が完全に無駄になる訳ではありません。理解して問題を解いていく途中で、今まで覚えてきた解法のどこが上手いやり方をしていたのかがわかり、また、怪しい方向へ思考が進むことも止めてくれるのでたまに助かることもあるかと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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